{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "1.对连续型特征，可以用哪个函数可视化其分布？（给出你最常用的一个即可），并根据代码运行结果给出示例。（10分）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#连续型特征可以通过matplotlib.pyplot绘制直方图来可视化其数据分布情况。\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "# 导入波斯顿房价数据\n",
    "df = pd.read_csv(r\"boston_housing.csv\")\n",
    "df.head() \n",
    "\n",
    "# hist直方图\n",
    "data = df[\"MEDV\"]  # MEDV为房屋价格列\n",
    "plt.hist(data,bins=30,alpha=0.8,facecolor='orange',edgecolor='b')\n",
    "plt.xlabel(\"Median value of owner-occupied homes\")\n",
    "plt.ylabel(\"frequency\")\n",
    "plt.title(\"hist of Boston MEDV\")\n",
    "plt.show()\n",
    "\n",
    "#或者用seaborn的distplot方法\n",
    "fig = plt.figure()\n",
    "sns.distplot(data,bins=30,kde=True,color='orange')\n",
    "plt.xlabel(\"Median value of owner-occupied homes\")\n",
    "plt.ylabel(\"frequency\")\n",
    "plt.title(\"hist of Boston MEDV/displot\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "2.对两个连续型特征，可以用哪个函数得到这两个特征之间的相关性？根据代码运行结果，给出示例。（10分）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x242ada760f0>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可用DataFrame的corr()方法先计算出每对特征间的相关矩阵，\n",
    "# 然后将所得的相关矩阵传给seaborn的heatmap()方法，渲染出一个基于色彩编码的矩阵\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "\n",
    "# import data\n",
    "df = pd.read_csv(\"boston_housing.csv\")\n",
    "\n",
    "# get the names of all columns\n",
    "cols = df.columns\n",
    "data_corr = df.corr()\n",
    "sns.heatmap(data_corr,annot=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x242b0cb3fd0>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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OLg0n8XQ0ncYNJPboBc6FRdByaB9qdW6KxWgmOzWT9eO0Ebzg9o3p9NpALCYzwiwIe+sHslMzHab9b/07Ji2g348TUHQqp5aGk3w6mjavDST+yAUuhkXQbGgfgjo3xWIyk5Oaydaxmv5jC8K497ORPLZpBigKp5ZtJ+mkYyv7WMxkzvkv3u9/CqpKTtg6zJeicB88HNOZkxj37sJ4cB+Glm2pPGcBWCxc/34OIj0NfWgbvJ59CYQARSFrxVLMF887Vr/ZQsqnX+H35Ucoqo7M1esxXYjCe+RQck+cJvvPXXg+/gjuXe5BmM1Y0tJInqqNomZt2Y5rm5ZU/+k7QJC9ez/ZO3bf/PfsiMVsYdXk+Ty78E1Uncr+ZduIO3OFPmMf5crRCxzfdJB7hvShfqe7sZhMZKVmsvS1Etfq2o2/ff/+n7RyK8/3xw8kPvLmvu/m502/nyYiLBYyY5PZMtrx9yHMFo6/+QNtlryFolO5sngrGaeuUH/C/5EaeZ74DcXP5jelZhL1zVo6/vEBAPGbDhG/6ZCjpAOa/l2TFvCfQunf2pr+l8IiaFoo/cOt6e/u581/rOl/PTaZbU5If4djcfT+B3n8DryiKMoStOUfqUKImJtFcMg0MABFUWqgzQNsjdbYiALGAL/9PUxk3TXsMPAKoKPQNDAhxCuFrjmfYqaBFaSsQ13lhdudBuZMyjoNrLxQ2mlg5ZGyTgMrL5R1Glh5oazTwMoLZZ0GVl4o6zSw8kJZp4GVF+7ENDBnUdZpYOWFsk4DKy+UdRpYeaHCTAOLO1WmXN5QvdFN709RlMVo6/n80HYTfBdtZ0GEEN9Y6/qz0DYmuQ4ME0IcuNk1HeYRQoirFL0tcbMCNgJoUSBsm/X7+WhboRW+5tA7KFEikUgkEolEIvnnY7HP3jFCiJuuvbDW9V++lWtW7OarRCKRSCQSiUQiuSWEcPRGl2VHNlYkEolEIpFIJJJ/E3YaWbEHsrEikUgkEolEIpH8m5AjKxKJRCKRSCQSiaRc4rzdwG4Z2ViRSCQSiUQikUj+TciRFcmdZFXELGdLKDNn2o9ytoTbYrtbAzrGnSzZsBzSqIJv/TsZWKp4OltGmXnUJ87ZEm4LnxYVpyArGj2mhIq9hWtFpra54m7/u4SK/ew+q6u420YDZDjqdeX/duSalfJFRX5PSUVuqEgkEokz+fSvIGdLKDMVub4WZK7I6iWSfwdyNzCJRCKRSCQSiURSPpEjKxKJRCKRSCQSiaRcIkdWJBKJRCKRSCQSSblE7gYmkUgkEolEIpFIyiVyZOWfR+turXl+yvOoOpUNSzbwy+xfbMIffvZh+j7RF7PJTGpSKv8d/1+uRV9zktqSeefDz9m+cx++PlVY+eM3zpZTJJW6tiZg0kgUnUry0o0kfmub5pUH9qL6xOGY4hIBSFq0mpRlGzHU8Cd4zjsoqgp6HckLV5O8eL3d9fbs1ZWPPp6ETqdj4YKlzPz8W5twFxcXvv3fp4SGNiMpKZlhQ17l0qXovPDg4ED2HtjAjA+/5Ksv5+Hq6sL6DUtwcXVBr9exauUfTP/gC7vfB4BXt1YEvfssik5H4pKNXJvzq02476M9qPHWMIyxWtrHL1xL0pIw3JvUIfiDF1E9PcBsIW7WMlLW7HCI5oI07NacByY/g6pT2b90K+FzVtuEt3uqJx2f7o3FYiE3M4ff3pzHtbPReFTx5Mk5owluXo+I5dv5/d35DtcO4H5PG3wnvASqSsZv60n9YalNuOeDffAZ8xzmeC3905asIuO39bi1aYHv6y/m2RlqhxD/xgdc37rLofr1d7fF7amXQVUxhq8jZ+2SG2wM7brhOmAIIDBfOkfWNx8CoPhWw33Ea6i+/iAg8/M3EQmO3Z2povtPg27N6WfVf2DpVrYXob/9070RFgs5mTmsfHMe8WejcbfqD2pej0PLt7PaCfpDujen85SnUXUqxxdv49BsW+1NB/eg2ZDeCLMFY2Y22974juQzV1H1Orp//Cz+d9dG1amc+nUHEV+vLuZX7Efb7m145b2X0OlU1i5ez+KvbZ/d5u3v5uUpL1LvrrpMffkDtq/9My/s+befpUOP9iiqysE/D/LV5NmOlk9g9+a0ef9pFFXl7OJtHJ9VdBqG9GtL1/+NZv19k0g6cgEXH0+6zH2VqqF1Ob9sOwfeXuhg5Rq1ujWnu9V/ji3Zxv5C/tN8cA9aPNMbi9mC8Xo2m974jqQzVwHwaxxCz+nDcfVyR1gEP/efjDnH6IzbcAxyzUrZURTlYeDdQl83B14GZgOvCiG+strOAg4IIebbU5Oqqrw07SXefuptEmIS+O/q/7InbA+Xz1zOszn31zlG9xtNTnYO9w++n+FvDWfGyzPsKeu2GHB/b54c+CBvvf+ps6UUjaoSOOVFLg55B2NsAnV/m0n65j3knr1sY5a2djux79k2tozxyUT932uIXBOKhxv11s8mffNeTNeS7ChX5bPPpzDgwSFER8eydftvrFu3mVMnz+bZPDPk/0hJSaVlix4MfPQB3nt/IsOGvJoXPv2jd9gUFp53npOTS/9+g8nMvI5er2dD2FLCNoZzYP9hu92H9WYIfv95zj01GWNsIg1//4zUTfvIOWOb9slrdhA92bZBZsnK4eLYmeRGxaCv5kujtZ+Tvv0Q5rRM+2ougKIqPDh1GN8Nnk5abCIv/z6NE2ERXDub3zCMXLWLfT9tBuCuXq3oN2kwPwz5CGOOkbDPllO9UTABDUMcptkGVcX3zVHEvTARU1wCNX6axfXw3RjPX7Ixy9wYTtIM290Csw9EcvXxF7TLeHsRtHo+WbsPOkw6AIqK2zOvkvnxBERSPJ5TZmM8tBvL1Yt5Jmr1IFwfeIKMaa/C9QwUryp5YR4jJ5Kz+mdMfx0EVzcQwsHyK7b/KKpC/6nD+MGq/0Wr/vhi9Dfu1Yr7Jw1mwZCPMOUY2WTVX90J+hVVoeu0Iax+cgYZMUk8umYqUWEHSbZWJgFOr9zNXz9uAaB271Z0mjyYNU9/TL0H2qFz1bO095vo3VwYtOUjzqzaTfqVBIfpV1WV0dNG8fqTE4mPSeCbtbPYtXE3F8/kP7tx0df4aNwnPP78/9nEbdq6Cc3aNGNE7+cB+PK3mbTo2JzI3Uccpl9RFdp+OIQtg2ZwPSaJ+9ZN5cqGg6QVSH8AfSU3Go/oS8LB/PLNnG3kyCfLqdIomMqNgx2muSCKqtBj2hBWPDWD9Jgknlw9lXNhB/MaIwAnV+7miNV/6vZuRbdJg/ntmY9RdCr3ffEif4z5hoQTl3Cr4onF+A/f+rwCjayUu/0FhRC/CSFC//6gNVD+BDYA14DRiqK4OFJTw9CGXI26SuylWExGE9tXb6djn442Nkd2HyEnOweAk4dO4hfo50iJt0yb0Lup7O3lbBnF4t6iIbkXr2K8HAtGE6lrtuPVq0PpIhtNiFwtk1FdDCiqYkelGq3btOD8+YtERV3GaDSyYvka+vXrZWNzf79e/PzTCgBW/raebt3zfajfA72JunCZEyfO2MTJzLwOgMGgx2DQIxxQcfMIbUBOVAy5l+MQRhPJq/+kcu/2pYqbc+EquVExAJiuJWFKSEXn621PuTcQElqfxItxJF++htloJnL1bu7q09pWZ0ZW3rGLh2teuhqzcrh44BQmJ/amuTZrhOnyVUzRsWAykblhGx7d77nl63j07kLWzv0Ia77kKHR1G2OJi0bEx4DZhHHvVgytbPW7dOtHzubf4XoGACI9BQC1Ri3Q6bSGCkBONuQ6Vn9F95/g0PokFdB/pBT6KaTf6CT91ULrkRoVR9qleCxGM2d/30OdQtqNBbTrC6S9EGBwd0XRqejcXLAYTeQWsHUEjUMbcTXqKjHWusKWVdvo1MfW9+OuxHH+xAUsFtu8XAiBi6sBvYseg4sBvV5PcnyKI+VTtWU90qPiyLCm/8VVewjp2/oGuxYTHuX47DU2ow7mrBzi95126khEQGg9UqLiSLXqP7V6D/UK+U9BnzC45/tPra53k3DiMgkntIZldkoGwuLYjhJJ8ZS7kZWCKIrSEO3dcPegNazigZ3AEOB/jtJRNaAqCVfze2cSYhJoFNqoWPu+j/flwNYDjpD2j0VfvSrGmPw0N8Um4N7ixjT3uq8THu2akXshmtgP/ofJGkcf6EfNeVNwqRVI3Izv7TqqAlCjRnWir8TknUdHx9KmbQsbm8AaAXk2ZrOZtNR0fKv6kJ2VzZixIxnw4BBGjX7WJo6qqoTvWEXdurWYN/dHDh6ItOt9ABgCbNPeGJOAR8sb077Kfzri2a4pOReiiZ76nU0cAI8WDVBc9ORejLW75oJ4V/ch9Wpi3nlaTBIhofVvsOvwdG86P3s/OoOeeU9+4EiJN0VXzQ9TbHzeuSkuAde7G99g59GzM26t7sZ48QpJn36DOS7eJrxS3+6kLfr1hnj2RvHxQyTla7EkxaOrd5eNjRqg9by6vPMFKCo5KxdiOrofNSAYcT0Tj1FTUP0DMP0VQfayeQ7tAazo/lNa/e2f7k0nq/7vy4n+SgE+ZFzNz6szYpKo3rLeDXbNhvSixXP/QWfQs+pxbfrg+bX7qNOnFUMPzkLv7sLO934iJ8VxI7oAfoF+XIvJ9/342ATuannjs1sUxyNOcGhXJL8eXAqKwsr5q7h09lLJEe8g7gE+XC+Q/tdjkqjayjb9fZrVwqOGL9GbDnPXC/0cqq8kPAN8SC/kPwGhN/pPi2d60crqP8sHaf7jUzcAEDy8aALuvt6cXr2bA9+sdZR051CBpoGVu5GVv1EUxQD8DIwXQhR8YmcArymK4rDX4yrKjT3zxfVw3/vwvTRo3oDl3y63t6x/NkWkeWEyNu/lbLdhnO/3Cpk7DxP0ybi8MFNMAuf7vcLZHs9R5ZGe6KpWucmVbp+ifaSwzY3xhBC89fYYZn/9Q94oSkEsFgtd7ulPk0adaNWmBXc1aXinJN+EIoXanKZu2s/xTs9y6r5XSd8RSc3Px9iE66v5UHPmWC6N/9Lh03iKSuiintc9i8L4tNtY/pixmB6jBjhCWeko2lFsTq+H7+bK/U9z9bHnyd57CL/3X7cJ1/n54lK/Dlm7ndBpUtSjWzj9dTrUgCAyp4/j+pwPcB/+GnhUAlWHvmEzspZ8S8aUl1D9AzF06esQ2XlUcP8pbXm1d1EYn3cby4YZi+leTvSXJh8FOLZgEz91fo3d05fQ+lVNe7XQugizhQVtRvHjPeNoMfJ+vGv621uyDUoRzl/a0fAatWtQq0FN/q/tE/xfm0G07BRK8/Z332mJN6Wo9EfYGNB6ymAi3vvZYZpuiVL6T+TCTfzQ5TX+nL6E9lb/UXU6arRpyPpXZ7Ns4FTq9W1DSKem9lbsVIQwl+njDMptYwV4H/hLCGGzMlMIcQHYBzx5s8iKooxUFOWAoigHLmXcXu9EQkwCfjXyp3X5BfqRVERPfWjnUB5/5XHeG/Eeptx/+FxHO2OKTcBQYCqdPsAPY1yijY05JT1vulfy0g24Nbux99B0LYmcM5fwaGvfTCc6Opag4MC886CgAGJjbBcFXy1go9Pp8K7sRXJSCq3btuC99ydy5K9wXnxpGK+Nf5Hnnn/aJm5qajo7/txDr15d7XofAMZCaW8I9MMYZ+vvBdM+cfFGPJrl916pnu7U/WEyMZ/+xPVDp+yutzBpsUlUrlE179w70Je0a8nF2h9ZvZsmvds4QlqpMMfFow/Ir2Tpq/vlLaT/G0tqOhi16RbpK9bhepdtI9ajTzeub90JJscXLCIpAcU3X7/q649IKaQ/KR5jxC4wmxEJsVhiLqOrHoxIjsd88aw2hcxiwRixE12tBg7VX9H9J/UW9R8tR/ozYpLwrOGbd+4Z6Mv1uOK1n1m1hzrWaUoNBtzDpW1HsJjMZCWmEXvgNP7N69pdc0HiY+KpFpjv+/4BfiTGJt4kRj5d7uvE8YgTZF/PJvt6Nvu27qdJq7tKjngHuR6ThEeB9PcI9CUrNj/9DZ5uVG4cTK9f3+ahvTPxa1WPbvPH4du8jkN1FkdGTBJehfwn8ya+f+r3/Gli6TFJXNl7kuzkDEzZuURtjaRas9r2luxchKVsHydQLhsriqJ0BwYCrxRj8iEwkZvoF0LMFcX4DXEAACAASURBVEK0EUK0qelZ87b0nI48TY06NageUh29QU/X/l3ZE7bHxqZu07qMmj6KqSOmkpqYelu/J4GsI6dxqR2EIbg6GPRUfqArGZv32tjo/X3yjr16tSfHuvheH1AVxVVb1qR6e+Leugm556/YVW/EwSPUq1ebWrWCMRgMPPLoA6xbt9nGZt26zTz51CMADHj4P2wP3w3Af/oMonnTbjRv2o05s3/gs0/n8L9vF1HVz5fKlbV1RW5urnS/txOnT5+z630AXI88g2udGriEVEcx6PHp34W0sEJpXy0/7Sv3bkf2WS19FYOeOnPfIvnXraSu22l3rUVxJfIcfrUD8An2R2fQ0aJ/R06E2S4yr1o7IO+4UY+WJEQ5dqrazcj56xT6mkHoawSAXk+lvt25bvWVv9H5FahQdOuI8YJth4znffeSuX6rQ/QWxnzhJLrqQSh+AaDTY2h/L8ZDtruRmSJ2or8rFADF0xs1IBjLtRjM50+hVPJC8aoMgL5JS5uF+Y6govtPdOQ5qhbQ37x/R06WoD+xnOi/FnmeyrUD8ArxRzXoqP9gBy6ERdjYVK5dPe+4Vs9QUq3aM6ITCbL2hOvdXanesj4pZ20Xhtubk5GnCKoTREBIAHqDnh4PdWdX2O6SIwLXoq/RokNzVJ2KTq+jRYfmNgvzHUHi4fN41QmgkjX9az3UgSsb89PfmJ7Fr81eZFX7saxqP5aEiHOED/2cpCMXHKqzOGIjz+NTJwBvq/5G/TtwvpD/VCngP3V7hpJi9Z+L24/g17gmejcXFJ1KcIfGJJ2J5h+NxVK2jxMod2tWFEXxAX4AnhRCpBdlI4Q4qSjKceABtFEWu2IxW5gzaQ7TFk1D1alsXLqRS6cvMXjcYM4cPcPesL2MeHsEbh5uvDnnTQDir8YzdcRUe0srM6+/O4P9h46QkpJGzwGDeWnE0wzs7+DpFjfDbCH2vTnUnP8+iqqSsjyMnDOX8B8zmKyjZ8jYvBffIQ/i2bM9mM2YUzO4OmEmAK71Qqj+1rPa+K+ikDhvBTmn7VvhMZvNjH/tPVasnI9Op/LjouWcPHGGt94Zw6GIo6xft5lFC5Yxd95nHIrcQnJyCsOHjr7pNQOq+/PN3E9QdTpUVeW3FWvZ8IcDKqBmC1cmf0vdhVNQdCpJyzaRfeYyAeOe5PqRs6Rt2of/0P54924HJjOm1HQujf8vAFUe6Ixnu6boq3jh+2gPAC6N/4Ks444rzCxmC79Pns/whW+g6FQOLNvGtTPR9Br7KNFHz3NiUwQdh/ShfqdmmE0mslIz+eW1OXnxJ+z4AldPd3QGPU36tOb7p2fY7ARld8wWkmbMovqc6drWxas2YDx3kSovDiHn+Gmywnfj9cQAPLp3BJMZc1o6CZM/yYuur1EdXYA/2Qcdt4uQDRYLWYu+otLrH2lbF29fjyX6Iq4PD8UcdQrTod2Yju5H36wNnh9+DxYz2UvnIjLTAMhe8i2VJmq7FJqjzpC7zbHzxiu6/1jMFlZPns9Qq/4Iq/6eVv0nN0XQYUgf6nVqhsWqf3kB/eML6L+rT2t+eHqGzU5i9kSYLfw5aQH9f5yAolM5uTSc5NPRtH1tIPFHLhAVFsHdQ/sQ3LkpFpOZnNRMNo/VdiQ8uiCMHp+NZNCmGaAonFy2ncSTl0v4xTuLxWzhy0mz+Pin6aiqyvqlG4g6fZFh44dwKvI0u8J206hFQ96fNwXPyp507N2BYeOeYVjP5whf+yctO4Xy/ab/IYRg/7b97N60p+QfvYMIs4UDby+gx89a+p9bEk7q6Wiavz6QxMgLRG+MuGn8h/bOxODpjuqiJ6RvGzY/MeOGncTsiTBb2DJpAY8s0vT/tTScxNPRdBw3kLijFzgfFkHo0D7U7NwUs1Hznw3jNP/JSb1OxLz1PLlmKkIIorZGcmGLnXfedDYVaDcwxRG7C90KiqK8CbwDnCkUtBh4WgjRzGrXAjgEDC9p6+L7a95fvm7yFlgVMatko3LMmfajnC3htukYd9LZEspEeNWKP992qeLpbAll5vkq8SUblWN8WlScgqw4ZoRXL9monFIupz2UkiBzRVYPvwjHvtfnTvOspeL6PcC1cteNfmuMvfSj/bcgvQNk7/+1THVjt7YDHX5/5c4lhBDTgenFBH9UwC6Sip2fSyQSiUQikUgkjqcCjayUu8aKRCKRSCQSiUQisSMVaOti2ViRSCQSiUQikUj+TciRFYlEIpFIJBKJRFIukSMrEolEIpFIJBKJpFwiGysSiUQikUgkEomkPOKst9GXhX9FY2WQ2bdko3JKRd/6t8Her5wt4bZxq3e/syWUiYajK/b2lQD1P89ytoQyU7mB0dkSbgudf2VnS7gt0vek8WpwjLNllBmvLhW33AL4ZaG7syWUmQd0FTvv7FXfvi9BdgSnT/o5W8I/HzmyIpFIJBKJRCKRSMolcoG9RCKRSCQSiUQiKZfIkRWJRCKRSCQSiURSLqlAIyvyDfASiUQikUgkEomkXCJHViQSiUQikUgkkn8TchrYP4Ma3ZvTdurTKKrK2cXbOPb16iLtavZrS/e5o1n7n0kkHrmAq48n3ea+StUWdTm3bDv73lnoYOUalbq2JmDSSBSdSvLSjSR++4tNeOWBvag+cTimuEQAkhatJmXZRgw1/Ame8w6KqoJeR/LC1SQvXu+MWyiWdz78nO079+HrU4WVP37jbDkA3NuzM9M+ehudTuWnhcv5aub/bMJdXAzM+vYjmoc2JTkphZHDxnH5UjQATZo25JP/TsXTqxLCIuh776Pk5OSy+Nf/Ub26Pzq9jr27D/LGa1OxOCCDUWs3xaX7IFBVTEf/xLT/D5twQ7fH0IU0tp64oLh7kTV7NACKly8uvZ9B8fIFBDm/fYlIS7S75oIEdW9Oh/eeRtWpnFq8jSOFnt3Gg3tw19DeCLMFY2Y2Oyd+R8qZq6gGHZ1mjMCvRR2ExcKed38kdvcJh2oH0Ie2w2PYK6DqyNm8lpyVP99gY+jYHffHhoIQmC+eI/OLafmB7h5U/u8CcvftIOu7Lxwn3IquUUtcH3oOVBXj3jCMW3+1CXd5cAS6es0AUFxcUTwrkznpKQDcnn0XXa2GmC+cIPv7aTdc29G4tm+L92jtf3F9zVoyf1x8g41bj+54DhsCgOnsOVLec55uXcNQXB8YrqX9/s0Yw3+zCXfpNxRd3QJpX6kymVOfQQ2sjeuAkeDqARYLxq3LMR3d5YxbsCGoe3PaW8vh04u3cbSYcrhWv7b0mDua363lsLOo3a059055GkWncmzJNvbNttXbfHAPQp+x5j3Xs9n4xncknbkKgF/jEHpPH46LlzvCIvip/2TMOc7bVdClXTu8XnkFdDqy1q7l+s835kOu3bvjOXQoCIHx3DnSpjn3mfW5N5S67w9D0anE/rSZK7NWFmnn90AH7po3nkN9J5IReQ5Fr6PB5y/ieXcdFJ2OuF/CufLVb0XG/cdQgaaB3dHGiqIoGUIIT0VRagMXgFeFEF9Zw2YBB4QQ8xVFmQ90A9IAd2AP8KYQIrrgdQpcdyjQRgjxiqIojYBvgSqAK/CnEGLknbwPAEVVaP/BEMKemMH1mCTuXzeVyxsPkmrNVP5GX8mNu4b3JT7ibN535mwjhz9eTpXGwVRpFHynpZUOVSVwyotcHPIOxtgE6v42k/TNe8g9e9nGLG3tdmLfs63sG+OTifq/1xC5JhQPN+qtn0365r2YriU58g5uyoD7e/PkwAd56/1PnS0FAFVVmfHZZB4bMJyr0XFs2PoLG9Zt4fSpc3k2Tz7zKCkpaXRo2ZcBA+9n0nuvMXLYOHQ6HV/P/YSXn5/A8WOn8PGpgtFoAuC5oWPISM8E4LtFX/Lgw/ex8td19r0ZRcGlx5Pk/DoTkZ6M21NvYz4XiUjK3wbWGL6Mv4tQfWgP1GoheWEu9w3HuHctlksnwOAKQthXb2H5qsI904bwx5MzyIxJ4sG1U7m08SApBZ7dcyt3c/LHLQDU7N2K9u8OZsPgj2n05L0A/NbrTdyqetN30eus6jfZsfegqniMGE3G++OxJMXjNf0bjAd2YrlyMd8kIAi3h58i/Z1XEJkZKN5VbC7hPmg4puORjtNcEEXF9eHnyZr7LiI1EffRn2I6vg8Rl5/35P7+Xd6xoVM/1KC6eefGbb9hdHHF0KGvQ2UXiariPW40SWNfx3wtHr9535CzYxemqPz/hS44CM/BT5L40ihEegZqlSo3uaCdUVRcH3yOrO+mItIScX/5I0wn9iOu5W9lm7t2ft6xoeN/UGvUAUAYc8he9hUiMQbFywf3Vz7BdOYwZF939F3koagKHT4YwgZrOdx/nfYsF1UONxnel2sFymFnoKgKPacNYflTM0iPSeKp1VM5G3YwrzECcHLlbo5Y8556vVvRfdJgVjzzMYpO5f4vXmT9mG+IP3EJtyqeWKzlgFNQVbxGjyZl/HjM8fH4fvMNOTt3Yr5YwPeDgqj01FMkvfIKIiMDxZm+D6Cq1Jv+LMcem0pOTBKhf8wgaeMBrp+23cpZV8mNGiPuJ+3g6bzv/Pp3RHUxEHHva6juLrTe/l/iV+4g53K8o+/CcVSgkRV7rlm5BoxWFMWlmPDXhRAtgEbAIWDrTWwL8iUwUwgRKoS4C7DLizyqtqxHelQcGZfisRjNRK3aQ0jf1jfYhU54lGNz1mDOzu/9MGXlcG3/aaf2iLi3aEjuxasYL8eC0UTqmu149epQushGEyJXyyRVFwOKqthRadloE3o3lb29nC0jj1atm3Ph/CUuRl3BaDSycsU67uvX08bmvvt7suxnrZdn9coNdO7WEYDuPTpx/K9THD92CoDk5JS80ZO/Gyp6vR4XgwHhgEqzGlAHkRKPSE0AixnTyf3o6oUWa69r3BbTyX0AKL6BoKpaQwXAmAOmXLtrLoh/aD3SouJItz6751ftoWYf22fXmJH//ha9h2teulZpEMTVnX8BkJ2YRm7adfxa1HGceEBXvzGW2Ggs12LAZMK4cwsubTrZ2Lj2eoCcP1YiMjMAEGkp+fHrNkSt7Isx8oBDdf+NWrMBlsRYRFIcmE2YDv+Jvmm7Yu31LbtiOrQ979x89gjklI/36xjuaoz5ylXMV7X/RdamLbh2tv1fePR/gMwVKxHp2v/CkpJS1KUcghpSX0v7ZGvaR+5Af1fbYu31LTpjitwBgEiIQSRqHRIiPRmRmYpSybnv2vErVA6fX7WHmkWUw60mPMrRQuWwMwgIrUdKVBypVr2nVu+hfqG8J7dA3mNwz+/Mqd31buJPXCb+xCUAslMyEBbHdvQUxNC4MeboaMwxmu9nb9mCaydb33d/4AGyVq5EZFjzISf6PoBXy/pkX4gl+9I1hNFE/Mqd+Pa90f9rTRzEldmrsBSsowmB6uEKOhXVzQVLrglzevnIh+yGxVK2jxOwZ2MlHtgMDLmZkdCYCcQC/ynFdQOBvGayEOLo7YgsDo8AHzKv5o8kXI9JwiPAx8bGt2ktKgX6Er3psD0k3Bb66lUxxiTknZtiEzBUr3qDndd9nai7dhbBs95EH5j/EiZ9oB91186iwY75JHy7vFyNqpRHAmpU52p0/sjD1ehYAgJtXywWGFiNaKuN2WwmPS0dX98q1KtfGyEES1bMI2z7r7w8eoRNvCUr5vHXuZ1kZGSyeuUGu9+L4lkFkZ7//xYZySheRfeYKV6+qN5+WC6fBED1qQ45Wbj0fxG3wZMwdH0UFMc2dj0CfciMKfDsxiZRKdDnBru7hvTi/3Z8Rtu3B7FnsjZVM+nEJWr1aYWiU/EM8afq3bXxrHHjc2NPVF9/LIn5vXmWpHiUqv62NoEh6GoE4/X+V3h9MBt9qLUxoCi4P/MS1xfNcaRkG5TKVREp+XmPSElEqVx0Gio+/ii+1TCftUs2ftvo/P0wX7uWd26Jj0fnb/uyOn1IMPqQEKrO/oqq336Na/viGwf2RvH21ToZrIi0pOLTvoo/ik91zOeO3RCmBtdH0ekRSbF201oaiiqHKxVTDl8pB+WwZ4AP6QX0psck4Vn9xrwn9JlejPjzM7q+NYgt72p5j0/dAEAwcNEEBq+dRtsX+jlKdpGo/v5Y4gvkQ/Hx6Pxt8yFdSAi64GB8vvoKn9mzcWlXfKeEI3AN9CXnar7/58Yk4hpo+3LVSs3q4FrDj6SwgzbfJ6zZg+V6Dh2O/I92B78hes7vmFIyHKLbaQhL2T5OwN67gc0AXlMURVcK2wigcSnsZgJbFEVZryjKWEVR7DLuqBRVwRI2BrSZMpgDU2+cw1kuKEUFMWPzXs52G8b5fq+QufMwQZ+MywszxSRwvt8rnO3xHFUe6YmuqpOHd8s5RSZ34VGQIoyEAJ1eT/uOrXnp2fE82Pcp7n+gN1265Y+CDXrkWZo37IKLqwudu5VydOy2KMH3C6Br3A7TmYj8e1VV1KD6GLf/QvZPH6BU9kPXtFPRke1G0elcmBMLNvFL59fY/+ESQl8dAMDpJeFkxiTx0Lr36TBlMNcOnsFiMttbcMkUvgGdDjUwmPQpY8j8YiqVXngdxcMT174DMEbsQSSWs6kLxYwI6kO7YDqyq/zOnS6yHLjxf6EPCSJx1BhSprxP5Ymvo3hWcoy+GyiFXiv65p0wHdt9Q9orXlVwe+xVspfPcvgUzsIUVQ6LQuVwuymD2V9OyuES6w1WDi/cxHddXmP79CV0sOY9qk5HUJuGrHt1NksGTqV+3zbU7NTUzopvkUL+oOh06IKDSR4zhtSpU/F+/XUUT89iIjuAkp5XRaHu1KGcf2/BDWZeLesjzBb2thjJ/nYvEfRCf9xqVrOj2HKAHFnREEJcAPYBT5bCvKTatbBe8wfgLuAXoDuwR1EU1xsupigjFUU5oCjKga2ZZ25JN0BmTBKVauS3yD0Cfbkel5x3bvB0o0rjYPouf5tH9szEv1U97v1hHFWbO3bKSHGYYhMwFBwpCfDDGGe7yNmckp433St56QbcmtW/8TrXksg5cwmPtuUs0yxnxETHUSMoMO+8RlAAsbHXbG2uxhFktdHpdHh5e5GcnELM1Vh27dhPUlIKWVnZbNoYzt0tmtjEzcnJZcO6Ldx3v+3UMnugjaTk+77i6YPIKHp4X9+oLWbrFDAtbgqWa5e13l1hwXz2MGq1mnbXXJDrMUlUKtCb5hHgy/XY5GLtz6/aQy3r1BJhtrD3vZ9Y2fdtNo2YiYu3B2kXHNu7bEmKRy0wkqL6+iOSEmxsRGI8xv07wWzGci0W89VLqIFB6Bo2we0/D+P99RLcn34R1659cH/qji/puykiNRGlSn7eo1SpikgremRWH9oF06E/HSXtljFfi0dXLb/Covr7Y04olI/Gx5P9p/a/MMfEYrp0GX2wc9YqirRElMoF0t7bt/i0b9EpbwpYHq7uuA15m5yNi7FcvvVy805TmnLYp3Ew9y1/m0et5XAvJ5bD6TFJeBXQ6xXoS8a14vOek7/nTxNLj0ni8t6TZCVnYMrO5cLWSKo1q21vycViiY9HLTCSovm+bT5kjo8nZ6c1H4qNxXTpErqgIEdLzSPnaiKuNfL93yWwKjkF8n6dpzuVGoXQfMV7tN0/G+9WDWiyYCKeLerh/0gXkrceQpjMGBPSSNt/Cs/Qes64DcchR1Zs+BCYWIrfagn8ve1OVqH1K75A3lMihLgqhPheCPEQYAKaFb6YEGKuEKKNEKLNvZUa3LLoxMPn8aoTgGeIP6pBR+2HOnB5Y0ReuDE9i2V3v8iKDmNZ0WEs8RHn2Drsc6fuQlKQrCOncakdhCG4Ohj0VH6gKxmb99rY6P3zh6e9erUnx7r4Xh9QFcVVS37V2xP31k3IPW+7QE1iy6GIo9StV4uatYIwGAwMeOR+NqzbYmOzYd0WHntS60XrP6AvO7bvAWDr5h00adYQd3c3dDod93Ruy+mT5/Co5EG16lphodPp6NWnK2dPn7f7vVhio1CqVEPx9gNVh75xW8znb1ysrfhUB1cPLDHnCsS9gOLmAe5a75oupDEi8eoNce1JfOR5vAs8u3Uf6sClsAgbG+86+VP0QnqGkmptkOjcXNC7a30fNbo0Q5gsNgvzHYH57CnUwGDUagGg12Po1IPcA7a7MuXu34G+qbaOSPGqjC4wBEtcDNe//IDUFx8n7eVBZC2aQ872jWT9NNeh+i2Xz6D6BaL4VgOdHn1oF8x/7bvBTvEPQnGvhOXiSYfquxWMJ0+iCwlCF6j9L9x79SBnp+3/IufPHbi0agmAUtkbfUgwpqsxRV3O7liunNXS3sea9i06Yz5x49olxa8Girsnlkun8r/U6XEbPAHToW2Yj+12oOriSTh847NcuBxefPeLLO8wluXWcniTE8vh2MjzVKkTgLdVb6P+HThXKO+pUjs/76nbM5TkKC3vidp+BP/GNdG7uaDoVII7NCbxTLRD9RfEeOoUuuBg1ADN99169CBnVyHf37EDl1BrPlS5MvqQEG2Ni5NIP3wWt7qBuNashmLQ4z+gE0kb9+eFm9Ovs6fpcPa3fYn9bV8iLeIMx4d8REbkOXKiE6jcWatKqh6ueLduwHUH5/0OpwKNrNh962IhxElFUY4DD6CNstigaOOmo9DWovy9P2o4MBj4XlEUd+AxYILV/j5gsxDCqChKAFAVuONPtDBb2PfOAnr9PEHbunhpOKmno2kxfiCJkRe4UigDKswje2Zi8HRHddETcl8bNj0x44YdTOyK2ULse3OoOf99FFUlZXkYOWcu4T9mMFlHz5CxeS++Qx7Es2d7rUcwNYOrE2YC4FovhOpvPasNnyoKifNWkHP6Ygk/6Fhef3cG+w8dISUljZ4DBvPSiKcZ2N95uweZzWbeHP8+S1Z8h06nsvjHXzl18iwT3hpF5KFjbFi/lZ8XLWfW3I/Zc2gDKcmpPD9cm3aXmpLGN7Pm88fWX0AINoVtZ9PGcPz9q7JwyWxcXVxQdSo7t+9lwfdL7H8zwkLu1p9xHTgGFAXTsZ2IxKsY7nkQS+zFvIaLvnE7zKf2F4oryA3/BbdHXwMFLHGXMB11bM+5MFvYPWkB9/2kPbunl4aTcjqaVuMHkhB5gUthETQZ2ocanZtiMZnJSc1k+9hvAXD386bvTxPBYiEzNpnw0U5Y+2Exc/27L/B8+xNQVXK3rsdyJQq3x4dhPncK44FdmA7vw9CiDd4z54PFwvVF3yAy0hyvtSgsFnJ+m4v7c1NA0bbPtcRdxqXvk5gvn8V8XCsGDC27YDq844bo7i99iFotGFzd8HjnO3KWzcJ8+pCDb8KK2ULa51/i+/nHoKpkrV2P6UIUniOGYTx5ipydu8jZux+Xtm3xW/QDWCykzf4Gkeak/4XFQs7v83AfPklL+wNbsFy7jEuvQZijz+Y1XAwtOmOK3GkTVX/3PejqNEHx8ELfStsVL2f5LCwxUQ6+iXyE2cKedxbQx1oOn7E+yy2tz/LlEsphRyPMFrZMWsDARRNQdSrHloaTeDqae8YNJO7oBc6FRdByaB9qdm6KxWgmOzWTP8ZpeU9O6nUOzlvPU2umghBc2BrJhS1OXIdjNpP+xRf4fKLlQ9nr12OOiqLSsGGYTp0iZ9cucvftw6VNG6rOn4+wWEj/xom+D2C2cO6teTRb/A6KTiVu8Raun7pCrQmPk374HEkbi9905Or3f9Dwi5dpFT4TRYHYJVu5fqJ81XvuOOV1+m0RKHdyd6FCWxevEUI0s37fAm3Hr+FFbF3sQf7WxVes9kFo2xMHo00PWyiE+Mwa9jnQD8i2/uwnQogfb6ZrYdBg5068vQ3auBU/hFwRaLDXLpu1OZTgevc7W0KZuPBuF2dLuG0Wf15xd2N5pGPFHo001HLuTlC3S/qectJ4KyNeXXxLNirH/LLQ3dkSykxSaVbZlmMG163YeQ/A6ZN+JRuVU7rELi9/W6gWQdbyaWWqG7s/+o7D7++Ojqz8/W4UIUQUBaZmCSEiKTANTAgxtITrRKONxBQVNg4YV1SYRCKRSCQSiUQiKYEK9J4V+QZ7iUQikUgkEonk34STd/u7FWRjRSKRSCQSiUQi+TchR1YkEolEIpFIJBJJuUQ2ViQSiUQikUgkEkm5pALtBuaI96xIJBKJRCKRSCSS8oKd3rOiKMp9iqKcUhTlrKIobxQRXlNRlK2KohxSFOWIoiglbrn6rxhZGZd+4wvJKgrb3W79hZaSO8uVc+ucLaHMGBdOd7aE22Ja1lFnSygzj+BTspFE8g/lv2b7v8DWXlxKveZsCbfF4LrBzpZw20zWpzpbQpnZ6mwBTkRRFB3wNdAbuALsVxTldyHE8QJm7wDLhBBzFEVpAqwDat/suv+KxkpFpmNc+X27c2lwq6DvKPmbitxQAWj6QcVtqFd0QrckOVvCbaFXKvZ7Si6mxTlbwm3hFuHibAllpp53oLMl/KtpGlGx37x+t3ctZ0v4d2Cf3cDaAWeFEOcBFEVZAjwEFGysCMDbelwZKNFhZWNFIpFIJBKJRCL5N2GfBfZBwOUC51eA9oVspgAbFUUZBVQCepV0UblmRSKRSCQSiUQi+TdRxjUriqKMVBTlQIHPyAJXLert9oWHcJ4A5gshgoH7gUWKoty0PSJHViQSiUQikUgkkn8TZdwNTAgxF5hbTPAVIKTAeTA3TvMaAdxnvdZuRVHcAD+g2MVicmRFIpFIJBKJRCL5FyEsokyfEtgPNFAUpY6iKC7AIOD3QjaXgJ4AiqLcBbgB8Te7qGysFKJHry7sOfgH+w6H8erYkTeEu7gYmPfDf9l3OIwNW34hpGYQACE1g7gcd4StO1axdccqPp35Xl4cg8HA51+8z96IDew+8AcPPNjHbvp79urKgYgwDkVuYey454vQ78IPC77kUOQWNm/9lZpW/X8THBxIdOwRRr36LACuri5s2baCHbvXsGf/et58e7TdtAPc27MzOw+sZ8+hDYwa+1wR+g3M/eFz9hzaduvUzwAAIABJREFUwPrNS/PSH6BJ04asDVtC+J7VbNv1O66u2gLVxb/+jy07VhK+ZzUfz5yCqjrf7d/58HO69hvEgMEvOFtKHl173MPmvavYun81L4wefkO4i4uBr+Z9zNb9q/lt448EhdQAwGDQ8/FXU1n/53LWhS+jfac2eXHGv/0KO49s4NjF3VJ/CXTr0Ykte38nfP8aXixG/6x5HxO+fw0rN/5EsFW/Xq/ns6+nseHPX9m8eyUvjRkBQN36tVm3bVne51jULoY/P9hu+rv2uIewPSvYsm8Vz786tEj9X86bwZZ9q/h1wwKCQrRF2AaDno++nMK67UtZs20J7Tu1zovTb0Af1oYvZf2OX5j47p3Ne/r26c5fx7Zz8vgOJrz+chF6Xfj5pzmcPL6DXTtWU6tW/g5LEye8wsnjO/jr2Hb69O4GQMOG9Tiwf2PeJynhJK+OetbmmuPGPo8pN5qqVe/sTnG9encl4vBmIo9uZdxrN+YpLi4uLFj4FZFHt7I1/Le8fL91mxbs2rOWXf/P3nlHRXG9f/iZLTQFpEm19woaNXbRiB1L7F0TUzQaezT2rjExxURN8osxGjX23sHeu9hRERBh6VUR2DK/PxaBpdjCLvrNPOdwDjP3ndnPzt7y3nvfe+fcXs6e24dvjrbJ1taateuWc+WqP5ev+NGgQZ1C1VwQjVu+z85T/7D77CY+GjkwT3rdhl5sOLSKy49P0LpTy6zzrh4u/HPwTzb6/8W242vpOairSfSCvt29cOUQlwMOM6aAdnfl6p+4HHAYv6NbDNot0Le7YZEBjPzy46xzn40YzJkL+zhzcT+fjxhiVP3G8Hues3bDCk6e22NU/Tmp712P1cf/ZO2pv+j7Re886bXfr8Vv+5fjH3KA5h2bGaR9NnUYqw7/H38dXcmoOSNMJbnoMMLWxaIoaoCRwEHgDvpdv24JgjBHEITOmWbjgU8EQQgA/gGGiOKLV/sb3WsTBMFFEIQNgiAECYJwWxCEfYIgVBYE4WYuu1mCIEzIcawQBCFWEISFuew6Ze7NHJB5v7w1wxsik8n4ZslMenf/hCb1O/Bhj05UrlLBwKb/oJ4kJibRwMuHX5f9xczZE7PSQoIf0bJpF1o27cKEsTOzzo+bOJyY2Djer9uWxvXbc+bUxcKSnEf/ku9n0ePDj2hQry3de/pSpWpFA5tBg/X663i2YvmyVcyeO8kgfeE30/D3O551nJ6egW/HATRt1ImmjXxp3bo59ep7GU3/oiUz6NfjE5o16ES37h3zPP9+g3qQmJhMwzpt+W35aqbPHg+AXC5n2e/fMnHsTFo09KVbx0Go1RoAPhkyhlZNu9KioS8OjvZ07tbOKPpfh64dfPj1+3lFLSMLmUzGnMVTGNJrBG0ad6Pzh+2oWKW8gU2vAd1ISkymZX1fVq5Yy+SZYwDoM6g7AO2b9WBg98+ZOmc8gqAPW/U/eJyuPv0l/a+gf+7iKQzuNZzWjbvS+cP2VMqlv/eAD0lKTKZF/U6sXPF3lv6OXdpgZqakbbPudGzVh36De+BRyo2HD0Lo4N2LDt696NSqD89S0zi497DR9M/6ZhIf9R5F2ybd8f2wHRUrlzOw6dm/K0mJybRq0IVVv67L6nz0HvghAB2a92Zwj+FMmTMOQRAoYWfL5FmjGfjhZ7Rv2hNHJ3saN2tQaHqX/jSfTr4DqOXZkt69u1KtmuE28R8N7UtCQhJVqzflx6X/x8IFUwGoVq0SvXp1obZXKzp26s/PSxcgk8m4dy+IevXbUK9+Gxq8347U1Gfs2Lk/634eHm60/qA5oaGPC+U75Pwu3/8whw+7DqFe3Tb07NmZqrnq/cFDepGYmIRnrZYs+3klc+fpX31w+1YgzZp0pnHDjnTtOpilS+cjl8sBWPztTPz8jlO3Tmsavt+BwMAHhaq7oO8yZeEERvQbT7fm/WjXrTXlK5c1sIkMj2T66Hns3+5ncD4mKpZBvp/Ru/UQ+rf/hKGjBuLk7GgSzd9+P4ueH35Mw3rt6N6zU552d+DgniQlJvGe5wesWLaKWXO/Mkif/81U/P1OZB1Xq16JwUN680GLD2nWsBNt27ekfAXj7JBlLL8HoKNvG54+TTWK7vyQyWSMnjeKyQOnMKTlMD7o0pIylUob2ESFR/PNuG85vOOIwfka71WnZr2afOzzGR998AlVPKvg2ai2ybQXCaLuzf5edltR3CeKYmVRFCuIojg/89wMURR3Zf5/WxTFJqIoeoqi6CWK4qGX3dOonRVB3+JvB45liq4OTAGcX+HyNkAg0CvzPgiCoEQfJ+criqInUAc4Vlh669arTfDDUEJDwlCr1Wzfupf2HQ03KWjf8QM2/LMdgF07DtDMu9FL79tvQHd+WvIbAKIoEh+fUFiSDXivnicPH4YSkql/25Y9dMylv0PH1qxftw2AHdv30yKH/o6dfAgJDuPOnfsG1zyvbJRKBUqlgpd0gN+Yuu/VJvjhI0JDHqNWq9mxbR/tOn5gYNOuwwdsWr8DgN07DtK0hV6/d6sm3L4VyO2bgQAkJCSiyxwBeJLyFNCPQJsplUbT/zrU86qFrY11UcvIwrNuTUKDwwgLDUet1rB7+wF82nsb2Pi0b8nWDfrZ3P27/GjcXO84VqpSnjMnzgMQFxtPcnIKtevUAODapRvERMVK+l+CV92ahAQ/yqW/pYGNT3vvLP37dvnRpLl+gxVRFLGyskIul2NhYY46Q01KyhODa5s0f59HIWGEP1YZRb/++T/O0r9n+0Fa53r+rdt7s22DfoR1/67DNGpWH4CKVcpz5qR+i+242ASSk1Ko5VWdUmXdCQ56RHxcIgCnj1+grW+rQtHboH4dgoJCCA5+hFqtZtOmnXT2bWtg09m3DX//vRmArVv30qpl08zzbdm0aScZGRmEhIQRFBRCg/qGsw4ftGrKw4ehPHoUnnVuyXezmDxlfqHXP/XqefIwKLve37JlNx07+RjYdOzow7q1WwHYvn0/3t6NAXj2LA2tVguAhbl51k6m1tbFadK0Aav/2giAWq0mKSmlUHXnR8061QkLfkz4owg0ag0Hdvjj3dZw9DsiLJL7d4Ky6vfnaNQa1BlqAMzMlciE/Nb5Fj7P293QrHZ3Lx3y+A2t+Wed3m/Yuf2AQbvboVNrQoPDuJuj3a1cpSIXL1zL+n1On7pAJ1/jRGQYy+8pVsyK4SOHsmTxcqPozo+qXlWICIlA9SgSjVrDkZ3HaNKmsYFN1OMoHt4JRpcrnEkURczMlSjMFCjNlCgUChJiEk2mvUjQiW/2VwQYe2alJaAWRfHX5ydEUbyG4bZmBdEX+Al9bFvDzHPW6DcFiMu8V7ooioGFJdbV1ZmIx5FZxxERkbi6Oeexed7ga7VakpNTsLfXT+mXLuPBkZM72LVvLQ0b6UNJbGz1DunX08Zw5MR2Vq7+CScnh8KSbICbm7OBMxIeno9+NxdD/Ukp2DvYYWVlyZixn7Jo4dI895XJZJw8s5sHwRc4euQ0ly8FGEW/i5szEeHZ+iPCI3Fxzf38SxIenq0/JTkFe/sSVKhYFlEU2bDtD/xObOWL0R8bXLdh2x/cCjrNkydP2b3joFH0v8u4uJZEFZ6d9yMjovM8e2fXkqgi9Db6Z/8EO/sS3Ll5D5/23sjlcjxKu1PLsxqu7q8yHiHpz9bvjCo8+70gqogoXFxL5rGJiIjKo3/fLj9SU1O5ePswZwMO8fuy1SQlGr4jpfOH7di1bT/GwtnVKevZgv75O+fR75T1G+XUf/fWPVq3a5H5/N2omfn8Qx+GUb5SWdxLuSKXy/Hp4I2ru0uh6HVzdyHscfaaz8fhKtzcXAq00Wq1JCUl4+Bgh5tbPtfm0tWrVxc2bNyRddypkw/h4SquX79NYePm5sLjcMN6P893cXPOstFqtSQlp2SFotWr78XFSwc5f/EAo0dPRavVUrZcKWJj4/n1t285fXYPvyxfhJWVZaFrz01JVyciI7LLQbQqBmdXp1e+3tmtJJuPrOHg5R2sWrbWJAMNrrna3Yh82t2cbbO+3X2S1e6OHvsZ3yz82cD+zu17NG5SHzv7ElhaWuDTxht3D+O8u8YYfg/A19NGs/znP3n2LM0ouvPD0dWRaFX20oeYyFgcXV9tdu32lTtcPRPA1ssb2XJlIxePX+LRg0fGkvp2YKQ32BsDY3dWagKXC0irIAjCted/QFagrSAIlugX3+xBH8/WF0AUxXj0C3VCBUH4RxCE/i/b7ux1EPIZick9CpavDSJRkdF41fCmVbOuTJ+ykN9WLqG4dTEUcgXuHq6cP3eZVs27cenCNWbPn1xYkl9Bf26bvNeJosiUqWNYvmxVvlO2Op2OZo19qV6lCXXreVKteuXCkvxSba/yBUQR5AoF7zd6jxHDJtC5bX86dPKhWYuGWTZ9PhxG7crNMDM3o2mO8xJ63jjviyKb1u1AFRHFrsPrmbFgIpcvBKDVaI2mNT/edf35bfaYV3/+Nl51a6LT6mhQozVN67bnky8GU6pMdky8UqmgdTtv9u586Uz7G5Pfs321siuyed1OIlXR7PBfy7T5E7hyISBrIGXGxIUs/WMRG/as5HFYBFqNxmh6Xy2/vPxapVKJb6c2bNmqn0WytLRgyuQvmTX7u38rO1/+Td4HuHTxGvXrtaVFsy6MnzACc3MzFAoFXl41+OOPdTRp1InUp6mMnzDcKPoNdeY99zozUVER0fRsNQjfRr3o3KsD9o6FuzYoP17l+ReU9ydPHc2KfNrde4FB/PTD72zftZotO/7k1s07aIxUJxnD76lZqxrlypdh3x6/PNcZEyGfivRV849bWTfKVCpNz/p96VmvD3WaeFH7/VqFLfHtQuqsvBJBmbFqXqIoegG/5kjrBBwVRTEV2Ap0EwRBDiCK4jD0HZkLwATgz/xunnMf6LSMpFcSFBERiZtH9oiUm5sLkaroPDbPRzjkcjk2NtYkxCeSkaEmIV4/ZRhw7RYhwY+oWLEc8fEJPH2ayt7d+kK7c8d+antWfyU9r0t4eKTB6Iu7uwuRKsO3OEeE59Jvq9f/Xn1PZs+dxPVbxxk+YijjJwznk88MFzcmJaVw6uQ5WrdubhT9qvAo3Nyz9bu5uxAZafj8VRFRuLtn67e2sSYhIRFVRCRnTl0kPj6RZ8/S8D90nFq5nnN6egYH9x2hXQfD0DIJ/XPNOWrt4laSqFzPPjIiCtfMEVv9sy9OYkISWq2WedO+o6N3bz4dMAYbW2uCH5p2ROpd1x8ZEWUwm+Pq5kxUpOHmKKqIKNwyRzxz6u/SowPHjpxGo9EQFxvP5fNXqe1VI+s679ZNuXn9DrEx8UbUH531bOH584/Ja+Oe//OfP20Jvi378vnAcdjYWhMSpH/+Rw6eoHvbwfRsP4TgB6GEPHyVSfmXE/5YRSkPt6xjD3dXVLnqypw2crkcW1sb4uMTCA/P59ocswHt2rXk6tUbREfrR/UrVChL2bKluXLJjwf3zuHh4crF8wdxdn71GYMXfpdwFR7uhvV+nu8SHpllI5fLsbWxJj7eMMQlMDCI1KepVK9RhfBwFeHhkVy6eA3Qhwx75shTxiIqIgaXHKP6JV2diI58/dmRmKhYggKDqdvQOOsrcxKRq911c8/Hb8jT7hYnIT6RevU9mT33KwJuHWP4iCGMy9Hurl2zGe+mXejYth8J8Uk8DAoxjn4j+D31G3jh6VWDKzeOsPfgP1SoWJade/82iv6cxKhiKJljJs7JxZG4yLhXurZZuybcvnKHtNQ00lLTuHD0ItXrVjOW1LcDUXyzvyLA2J2VW8B7L7XKS1+gtSAIIehnZhzQh5QBIIriDVEUfwB8gO753UAUxd9FUawnimI9CzPbV/rQq5dvUL58WUqX8UCpVNKte0cO7DNckHpg3xH69O0GQOeu7Th5XL9LkIODXdYuU2XKlqJ8hbKEhOgb1kMHjtK0mT6+vHmLRgTeNc5CxSuXr1OhQlnKZOr/sEcn9uXSv2/fYfr11y9o7dqtPScy9bdv04faNVpQu0YLVixfxZLvVvB/v/2Ng6M9tpmhbBYW5ni3bMK9e0FG0X/1yg3KVyhD6TLuKJVKun7YgYP7DBfBHdx3hF799Lu8+HZty6kT5wA4evgU1WtWxtLSArlcTuOm9bl3NwirYlaUzHQK5HI5rds058G9h0bR/y5z/eotypYvjUdpd5RKBb7d2uG//7iBjf+BY3Tvo9/Mo31nH85mrjOwsLTAMjNEpKl3Q7QaLQ8CTfuM33X9AVdvUa58GUrl0O+3/1iB+jt09sla5xH+WJW18NzSypI69WoTdD8467rOH7Y3aggYPH/+pfAo7YZSqaBTt7YcPmD4/A8fOM6HfToB0L7zB5w9qd9oRP/8LQBo0uJ9NFotD+7p9Ttkjozb2FrTf2hPNq7dXih6L166RsWK5ShbthRKpZJevbqwe4/hzNPuPYcYOLAnAN27d+TosdNZ53v16oKZmRlly5aiYsVyXLh4Neu6Pr27GoSA3bx5FzcPTypWbkjFyg15/FhF/ffbEhX1wp06X5nLl69ToWJ2vd+jhy/79vob2Ozb50//Afqmslu39hzPrPfLlPHIWlBfqpQ7lSqX51HoY6KjYgl/rKJSJf0mD94tG3P3jvEX2N+6dofS5T1wL+2KQqmgXdfWHD906pWuLenqhLmFfgdIa1trvOrXIuRBqDHlAs/b3TJZfsOHPTqyP4/fcJi+/fV+Q5du7ThxXN9udWjTF88a3njW8GbF8r/4PrPdBXB0sgf0O4V16tKGLZt3G0W/MfyeVSv/oWaVZtSt1YqObfsS9CCELh3z7uxW2NwNCMS9nDsupVxQKBW06uLNGb9X28kxOjwaz4a1kcllyBVyPBvWJvS+FAb2tsysGPulkEeABYIgfCKK4v8BCIJQH7Aq6AJBEGyApkApURTTM88NBfoKgnAOqCeK4rFMcy+g0GojrVbL5Ilz2Lx9JTK5nPV/byHw7gMmT/2Sa1ducmD/Edat2czy37/lwjU/EhOS+GToWAAaNanP5Kmj0Wi06LRaJoyZQWKCfkZn9oxvWfH7t8xbNIW42ARGjTBOGJhWq2XC+Nls2/EXcrmMtX9v4e6d+0yZNoarV26wf99h/l69id//WMLVgCMkJCTy0ZAXbwfq4uzEr79/i0wuRyaTsX3bXg4eOGo0/V9PmMuGbSuRy2X8s3YrgXcf8NWUUQRcvcnB/UdZ//cWfvl9MeeuHiQxIYnPPhoHQFJiMr/+8hcHjm4GUcTf7wT+h47j5OTAmg3LMTczQyaXcfrEeVb/ucEo+l+HiTMXcfHqdRITk/mg6wBGfDyQ7rkW+JoSrVbLzEkLWbN5BTK5jM3rd3A/MIixk0dw49ot/A8cZ+Pa7fywYj5HL+4mKTGZUcP0O9o4ONqzZssKdDodkapoxg2fmnXfyTPH0LlHByytLDhz4xAb/97GT4t/LUjGf1r/jEkLWLN5BXK5nE2Z+sdNHsH1a7fxP3AsU/8Cjl/cQ2JiEiMz9a9ZuYHvfp6L3+ltCILA5vU7uXtbv1jXwtKCZt6NmDJubqFrzq1/9uRv+GvzMmQyGVvW7+J+4EPGTP6cG9duc/jACTat28GS5XM5cmEniYlJjP7ka0DfIflr8zJ0OpEoVTTjh0/Puu/0BROpWkMfdvrLd79nzbgUht7RY6axb+965DIZf63eyO3b95g1cwKXLgewZ48ff67awOq/lnL39ikSEhLpN0C/lent2/fYsmU3NwKOotFq+XL01KzF3paWFrT+oDnDR0x60ccXKlqtlvHjZrJj1xrkchl/r9nMnTv3mTZ9LFeu3GDfXn9W/7WRP1b+QMCNoyQkJDFk0CgAGjWuz/jxn6PWaNDpdIwdM524OP0GMOPHz2Tlqh8wU5oRHPKI4Z9NfJGMQvsuC6d8z4p/fkAml7Pjnz0EBQYz4qth3Lp2l+OHTlHDqxo//LkQmxLWtPBpyoiJH/NhiwGUr1SW8bNGIYoigiCwesU/PLhr/EEHrVbLV+Nns3XHKuRyOev+3szdO/f5etporl25mdXu/vrHEi4HHCYhIZGPh4x56X3XrFuGnb0dGrWaieNm5VmHVpj6jeH3FAU6rY6l039h8bqFyGQy9m88SMi9UIZOGExgwD3O+J2limdl5v4xi+K2xWnk05Ch4wYx9INPOL73JHWaePGn//8hiiIXj13krP+5IvsuJqGIFsu/CYKxd0YSBMEN+BH9DEsaEAKMAbaLolgzh90s4AkQC7QTRbFPjjR79DuDVUS/hqUC8Ax4CowWRfHSizQ42lR+d36RXKh1Jo6dL2Qs5MqilvCveBy0r6gl/CsqV+lW1BL+s+h4Z6sdABSCsceyjEtoctTLjd5iLBRmRS3hjalgY5zF4Kbi0ZMCX6T9TiB/C94l9m+oZWOcbZpNxdHHfqbZiu5fkvrtR2/USFlN/NPk38/orZEoihFAr3ySauaym5Xj8K9cafHA80DEDoUoT0JCQkJCQkJCQuK/xTs0s/JuD51JSEhISEhISEhISLwWYhGtP3kT3u25QgkJCQkJCQkJCQmJ/1mkmRUJCQkJCQkJCQmJ/xJSGJiEhISEhISEhISExFuJ+O6EgUmdFQkJCQkJCQkJCYn/EtLMytvFsmL1i1rCG1PFLKWoJfwrKo92frnRW4x6zUKUg74uahlvzL3AwnmJXlExtd7Ulxu9pcwc9O40BPkh2L/ay3TfVp7svlvUEv4V5qXf7W3fBxy2KGoJb8xwu/JFLeFf0blUeFFL+JdoOBPsVtQi/vd5hxbY/yc6KxIS/4Z39V0l73pHRUJCQkJCQsJISDMrEhISEhISEhISEhJvJdKaFQkJCQkJCQkJCQmJtxJpZkVCQkJCQkJCQkJC4m3kXXoppNRZkZCQkJCQkJCQkPgvIc2s/G/g0rI2deYMRJDLeLj+GHd/2Z2vnUfHBjT5YzSH2k0jISAY5+Y1qT21DzKlAp1aQ8Cc9USfvm1a8YB1i7q4zxyGIJcTt+EQ0Su2GqTb92iF25ShqCPjAIhZs5f4DX5YVi+Hx/zhyIpbgVZH1C+bSNxzyuT6ZWVrYObdB2QyNDdOorl4wCBd2aIX8lJVMw/MECytebZ8NACCtT1mPoMQrO0BkfTtSxGT44yqt3mrxsxcOAmZTMbGtdv59ac/DdLNzJQsWT6fmp7VSExIYuTHXxEeFoFSqWD+9zOo5VUdUadj9pTFnD99CYAJU0fSrbcvtrY21CzTyKj6X4dpC77nxOkL2NuVYMfaX4tazgup3MKTLjMGIchlXNh4lGMrdhmkN+zfmkYDfRB1OtKfprH16z+IflC0u+nIK3pi1mEwCDI0V46gPmmo2azdIGTlqgMgKM0RitmQuvBjBFtHzPuOA0GGIJejPncQzSV/k+uXlamBWYte+rJ78xSaSwcN0pXNeyIvVUV/oDBDsLLm2YqxyDwq66/LRLBzIWP//6ENCjClfMzqN6D4F6NAJiNt315SN6zPY2PeoiXFBg8BUUQTFETygrkA2C5cjLJ6ddQ3b5A01fQ7CSpq1sei3wiQyVCf2E/6vg15bJT1W2DeZRAgog17yLPfFiCv6oll3+FZNjLX0qSumIfm6hkTqoe6LeryyaxPkcll+G04xJblWwzSuwzrSpu+bdBqtCTHJ/PThB+JCY8BYNaa2VSpU4U7l24zZ+gck+p+Tinv2jSZpfcb7vxzjGvLDf2G6gNaUWOwD6JWh/ppGicmryThfgQyhZwWi4fhWKssMrmMe1tPcXVZ/j6HMTF/vz62Y0aCXE7q7r08+fsfg3TLDm2x+eJzdDGxADzdup3U3fsAsB7xKRaNGwKQsupv0g4fNa14wLllbbwy/bbg9ccILMBvc+/YgEZ/jOZwpt9m51We974dpk8U4PaSbUTsv2Q64UWB1FkpGEEQROB7URTHZx5PAIqLojgr8/hTYFymeTIwThTFU4IgyIELwFhRFE9k2h4C/k8Uxc2FrlMm8N6CIRzrvZBnqnh89s8l4tAVku8ZOjGKYhZUGtaWuMsPss6lx6dwctB3pEUlYlvFg+b/TGJ33VGFLfHFyGR4zP2MoP4zUEfGUXnXEpL8L5B+P8zALGHPKcJn/GZwTvcsndCxP5ARokJR0p4qe78n5cRVtMlPTadfEDBr1Y/0rT8gpiRg0X8q2qAAxHhVlon6+CbUmf8rvFohK1kqK82s3Ueoz+9F9+gOKM1BNG6hlMlkzFk8hYHdPyMyIoqd/uvxP3CMB4EPs2x6DehGUmIyLev70qlbOybPHMOoYV/RZ1B3ANo364GDoz2rNi6jS+t+iKKI/8HjrP5jA0cvmL7RehFdO/jQr3tnpsz9rqilvBBBJtBtzlD+b8ACkiLjGLVrPrf9Lht0Rq7uPM25dXqHvnrr9/CdPpCVgxcVlWR93u/0EWmr5yMmx2Hx2QI0dy8jxmRrzjiwJut/xfttkbmWBUB8kkDa/80ArQbMzLH84ju0gZcRUxJMq79lX9K3/Yj4JAGLvl+jfXjdsOye2Jxddj1bZpVd3eN7pK2bp08wt8Jy6Dy0oSYe6JHJsP5yDAlfjUcXE4Pd8t9IP3sabWholonc3R2rvv1J+PILxCdPEEqUyEpL3bQBwcICy06+ptUNIMiwGDiKp99NQoyPofiMZaivnUEX8SjLRObsjnnHvjxZMBpSnyBY67Vr7wbwZObn+tsUs6b4otVobl02qXyZTMbn84Yzvf804lRxfL/7B877nScsR7v18FYQ4zqOJT0tnfYD2jN0ylAWf7EYgG2/bcPc0pz2/duZVPdzBJlA03mD2dNvEU9V8Xy4Zw6hfpdJuB+RZXN/x1lurz0CQBmfujSaMYB9AxdTvlMD5OYKNvt8jcLCjN5HvuHBzrOkPI413ReQybCdMJq40RPRRsfgtPJX0k6eQRMSamCWdvgoSd8vNThn3rghZpUrETN4GILSDIdlP5J+9jzAUWDdAAAgAElEQVRiaqoJ9QvUWTCEk70XkqqK54NMvy0lH7+tYi6/LTnwMYfbTUPU6rAoWYLWhxegOnQFUfvuhEq9Nu/QAntZEXxmOvChIAiOuRMEQegEfAY0FUWxKvA5sF4QBBdRFLXACGCZIAhKQRD6AqIxOioA9nUqkBISxdNHMejUWh7tPId72/fy2NWa1IO7y/agTc/IOpd4M5S0qEQAkgIfIzdXIjMzbb/QyqsS6SEqMsKiENUaEnafxNbn/Ve6Nj04gowQvWOhiY5HE5uE3N7GmHLzIHMph5gYg5gUCzotmrsXkVfwKtBeXrU+mrsXABDsXUEm03dUANTpoMko8NrCwLNuTUKDwwgLDUet1rB7+wF82nsb2Pi0b8nWDfoR8v27/GjcvAEAlaqU58yJ8wDExcaTnJxC7To1ALh26QYxUSZsrF6Rel61sLWxLmoZL6WUV0ViQyOJD4tGq9YSsPssNdrUM7BJf/Is638zK3NEI3dsX4bMoyK6+EjEhGjQatHeOIOiar0C7RW1mqC5kTn6rdXqOyoAciUIggkUGyJzKYeYFI2YnFl2711CXsGzQHt5lfpoAi/mPV/pPbQhN0Gjzucq46GoWg1NeDg6lQo0GtKPHsG8cVMDG4uOvjzbtR3xyRMAxMTErDT11SumddByIC9fBV10BGKMCrQa1BeOoazTxMDGrHkH0o/shNRM7SmJee6jqNcczY2LkJFuEt3PqeRVGVWIiqhHUWjUGk7sPsH7bRoa2Nw4e4P0NL2uwKuBOLhmuxLXTwfwLEd5NjUlvSqQHBJFSqbfELTrHGXbGPoN6hz6lFY5BtJEUFiaI8hlyC3M0Ko1ZJj4uyirV0XzOAJthD7vP/M/gkWzJi+/EFCULUP6tQDQ6hDT0lA/CMK8YQMjKzbEvk4FnmT6baJaS9jOc7jl47fVmNSDe8v2oMvht2mfZWR1TGTmSnh3Jh3eHJ34Zn9FQFF0VjTA78DYfNImARNFUYwFEEXxCrAa+CLz+DxwBpgFLHh+3hhYutjzLDw7bChVFY+li52BTYmaZbB0c0Dlf7XA+3h0bEDCzVB0GRpjSc0XpYsDalW2k6tWxaJ0cchjV6J9I6ocWErZFZNQuubpP2LlWQnBTEFGaKRR9eZGKF4CMSU+61h8kpA1ApjH1toemY0jujD9S+Bkds6Q/gwz3+FYDJiOsnkPozttLq4lUYVnP6PIiGhcXA1fiOnsWhJVhN5Gq9WSkvwEO/sS3Ll5D5/23sjlcjxKu1PLsxqu7u/2yzTfFmyd7UiKyC7HSao4bJzt8tg1GujDpOM/0mFyP3bNWm1KiXkQrO0Rk7I1i8nxCDb2+dvaOiLYOaF7eDP7nI0DliO+wWr8MtSndpl2VgUQipUw+EwxJQGh2AvKrm122c2Jokq9fDsxxkbu6IguJjrrWBcTg8zRsG5UeHgg9yhFiZ9+we7n5ZjVN61TVhCCnSNifA7t8TEIdob1vszFA7mzB8Wm/EixaT+jqJn3pclm73ujPn/E6Hpz4+DiQGxETNZxnCoWB+e87dZzfHq34fJR087+vIhiLnY8ichut56o4inmkre+qTG4NX1PLaHhlD6cnqGfJX249wKaZ+kMuvwLA87/SMBv+0hPNGE0AyB3ckQblZ1/tDExyJ3y+gUW3s1xWvMHdvNnISvpBIDmQRAWDd9HMDdHZmuDeV0v5M5OJtMOef22Z6/pt9nXqYDPsW9oc3QRVyb9+b89qwKIOvGN/oqCouisACwD+guCkPsVyTWA3DXPpczzz/kaGAOsF0XxAcYiP98254irIFBn9gCuzVpX4C1sKrvjOa0Pl75aWfj6Xko+XyDXiHGS/0VuNxlGYLsvSTkVQOnvxxikK0raUfqHsTyasNToYVR5yU9//pbyqg3Q3L+SrVEmQ+ZeEfWJzaStm49g64i8xquNDr0pQj6dodwj9AXZbFq3A1VEFLsOr2fGgolcvhCAVqM1mtb/FPl1UvPJR2f/9uObFmPYt2g9rUYV8UtAX1b35EBRqzHaW+cN0sXkOJ4tn8Szn8ag8GoOxUz8JvrXGBeQV6lvWHafY2WDzMEdXeitwtX2SrxCnpHLUbh7kDhuNEnz52A9fiJCseImUfdiXkG7TI7M2Z2n34wn9df5WA4dB5bFsu9ga4/Moxyam6aP18+3uBaQ9727eVOxdkW2/bY13/QiId86Pq/ZrdX+/NN0POcWbqDul10BKOlVHlGr4+96o1jXeByen3bAurRpnf388k/u55926ixR3fsSM2gY6RcvYzd9MgDpFy6RdvYcjr/9gt3s6WTcvA2mdvZfwW/znD2A6wX4bfFXg/DznsTh9tOpOqqzfoblfxlpZuXFiKKYDKwBvnwFcwHD6rY5kATUfOFFgvCpIAiXBEG45J/6+n2aZ6p4LN2zR3SsXO15FpU9Xa4sboFt1VK02jaNThd+xKFuRZr9NR47z3IAWLra0/TPsZz/8leehkbnub+xUUfGGsyUKF0dUUfFG9hoE1MQM2d84v45hFXNCllpsuKWlF81A9V360i9Gmga0TnQz6RkjyYLxe0Qn+QNVwBQVKmPNjMETH9tIrroMH0ImahD++AaspKljapXFRGFq7tL1rGLW0miIg1/98iIKFzd9DZyuRxrm+IkJiSh1WqZN+07Onr35tMBY7CxtSb44SMk/j1JkfHYumWXY1tXB5KjC55pCNh9lho+BYdcmQIxOR7BNluzYGNf4OyIvFaj7BCw3PdJSUAX/Rh5mapG0VkQ4pNEBOvs0UzB2g7xaQFlt3I9tIEX8j8fdA2KYGtNbWwMMqeSWccyJyd0cYahmLqYGNLPnAKtFl1kJNqwMOQeHqaWmgcxIQbBPod2eyfERMONRXQJMaivngGtFjE2El1kGHKXbO3KBi3QXD6tDyk0MbGqOBzdsh10B1dH4qPj89h5NvWk18jezPt4LhoTRy28iKeqeIq7ZbdbxV3tSY0quL55sPMcZTPDlCp2bcyjY9fRabSkxSUTeekeJWuXN7rmnGhjYpA7Z+cfuZMTuljD/CMmJ4NaH5qZumsvyiqVs9KerF5HzJBPiBszEQQBTdhj0wjPJLffZpnLb1MUt8CmailabJtG+ws/Yl+3Io1z+G3PSbkfgSY1HduqRV+mjYpO92Z/RUBRzawA/Ah8DBTLce42kDvAsG7meQRBKAYsBloBToIgdCjo5qIo/i6KYj1RFOu1tqr42uLirz3EupwLxUo5IVPKKd2lIeEHsyd91CnP2FHjc/Y0GMOeBmOIu/KAk0OWkBAQjNLGiuZ/T+D6wo3EXrz32p9dGKQG3Me8nBtmpZwRlArsfJuR7HfewEZRMtuhsPVpQNoDfcUiKBWU+30KCVuPkrTvtEl1P0cXGYJQoiSCjSPI5Ciq1kf7MO+OQIKdM5hboVMF5bg2GMHCCiz1I53yUlUR4yLyXFuYXL96i7LlS+NR2h2lUoFvt3b47z9uYON/4Bjd+3QGoH1nH86e1DtpFpYWWFpZAtDUuyFajdZgYb7Em/M4IAjHsi7YeTghV8rx9G3EbT/DyVvHstmdzKqt6hAXYtqQx9zowoOQ2bsglHACuRx5rcZo7uYNdREcXBEsiqMLy65jBBt7UGSOBloUQ166CrpY4+b93GSXXQd92a1cL9/dvAQ7Z7CwQqfKm9f161jydmJMgebuXRTuHshcXEChwLxlK9LPGNaD6adPofSqA4BgY4vcoxRalWmfc35ogwORl3RHcHQBuQJlA299xyQHmitnUFTTr/8Titsgc/FAF529+YHy/VZkFEEIGMD9gHu4lXPDuZQzCqWC5r7NuZCr3SpfozxfLBzJ3I/nkhSXVCQ6CyI64CG2ZV2wzvQbKnRuSIjfFQMb27LZIb5lPvAiKbO+eRIeh3sTfRCJwtKcknUqkvDAtHlKfecuCg935K76vG/ZuhVppwzzj8whuzNm0bQxmpDMgTWZDMFGv7ZVUaE8yorlSb9g2jDOhGsPKV7OBatSTghKOaW6NESVw2/TpDxjd43P2d9gDPsbjCH+ygPOZPptVqWcEOR6l9jKwxHrCq48DYsp6KP+N3iHZlaKbOtiURTjBUHYhL7D8nyP18XAN4IgtBNFMU4QBC9gCPB8ZfgMYJMoincFQRgBbBQE4YgoimmFrk+r48qUv2jxzyT91sUbjpN8L5yaE7sTHxBMxKErBV5b6aM2FC/nTPUx3ag+Rh9ScrzPItLjkgtbZsFodTye8Rvl18xCkMuI3+RP2v0wXMb1I/X6A5L9L+A0xBcbnwag0aJJSuHRhB8BKNGpKcUb1EBRwhr7Hq0AeDThJ57dDjadflFHxtH1mHcfox+huXkaMS4CZePO6CJDszouiqoN0OaOaxdFMo5vxqLHeBBAF/UIzY2TRpWr1WqZOWkhazavQCaXsXn9Du4HBjF28ghuXLuF/4HjbFy7nR9WzOfoxd0kJSYzathXADg42rNmywp0Oh2RqmjGDZ+add/JM8fQuUcHLK0sOHPjEBv/3sZPi4t+q+CJMxdx8ep1EhOT+aDrAEZ8PJDuvm2LWlYedFodO2f8xbA1XyOTy7i46RhR9x/TZmwPHt8I5rb/ZRoPbkPFJrXQaTQ8S3rKxvErili0joy9q7AYNEW/9e+Vo4gxj1G26oku/CHaQH3jq6jdBM1NQ0dCcHLHou0ARPRT0urTexCjw/J+hjERdWQc3YB5t9H6rZdvnUaMV6Fs6IsuOhTtw+t6/VXqow3MG2ok2DggWNuhe3zftLqfo9OS8vOPlPjmOwSZjGf796ENDaHYkI9QB94l4+wZMi5ewKxefez/XA1aHU9+X6EfcQZK/PgzilKlESwtcdiwmZTvFpNxyUROm07Hs3U/U2z8Iv3WxScPoIsIxbzrYLQh99BcO4vm5kUUNd+j+LyVIOpI2/g74lO9dsHBGZm9E9rA66bRm1u+Vsev039l9t9zkMll+G/049G9R/Qf15/7N+5zwe8CQ6d+hIWVBZNX6MOPYiJimPexftvoRVu+waOCBxbFLFh1/i+WTlzK1RMFt9WFjajVcWr6ajqu/QpBLiNw43ES7oVTb3x3Yq4HE+p3hZpD2uDetAY6jZb0pKccHavfjfPmaj9aLvmUXv6LQBAI3HSC+LsmLrtaHUnfL8Xhh8Ugl5G6Zz+a4BCshw0l424g6afOUKznh1g0baKfVUxOJnF+5s6JCjmOK37SP4enqSTMnm/yMDBRq+PalL9olum3hWT6bdUndichIBjVC/w2x/erUGWkL6JaiyjquPr1KjLin5hQfRHwDm1dLJh65xtBEJ6Iolg8839nIBhYnGPr4uHo16SIQAowXhTFE4IgVAd2AJ6iKD7LtF0KxImiOPtFn7nRtf+784vkoopZSlFL+FdUHv3uLxSvMb9oRnj/LfcCtxe1hH/N1HpTX270ljJz0Dtb7QAg2Jt4rUsh82R33kX77xLmpd/tePkBhy2KWsIb01HMf0OId4XOpYr2PVGFwZlgt6KW8Mb0UK0z/TaMb0DK5+3eqJGy/vWAyb+fyWdWnndUMv+PAqxypa8A8gxtiqJ4G6ic69yrrHmRkJCQkJCQkJCQkMikqLfpfx2kN9hLSEhISEhISEhI/Jd4h8LApM6KhISEhISEhISExH8JqbMiISEhISEhISEhIfE2UlQveHwTpM6KhISEhISEhISExH8JqbMiISEhISEhISEhIfFWUjTvd3wj/hOdlY3v8Pa/M4pagIREETL/0vyilvCvyFg6paglSEgUCU2Ed3f73xUZ7/ZLebsXe7e3vbaoZk3bem/XCz//F5HCwCQKjY1C8ZcbvcVU/P5ZUUv4V8x7dqOoJbwx7/I7SuDd76gAfLY6o6glvDFJ4rv9rgYZ1kUt4V9RPujdrfudRcm1kJB465E6KxISEhISEhISEhISbyVSGJiEhISEhISEhISExNuIFAYmISEhISEhISEhIfF2Is2sSEhISEhISEhISEi8jUgzK/8j1GlRl49mDkMml+O/4RDbV2w1SPcd1oXWfXzQanQkxyexbOJSYsJjKFu9HJ/NH45lcSt0Wh1bf9nE6T2nTK6/covadJoxCJlcxsWNRzm+YrdBeoP+H9BooA86nY6Mp+ls//oPoh+EY1WiOP1WjMajdgWubDnBrpl/mVw7gLt3bRrOHohMLiPwn2NcX2aov+qAVlQb4oOo1aF+msbpSStJvB+BTCmnyaKPcfQsh6jTcW7mWiLP3jG63uatGjNz4SRkMhkb127n15/+NEg3M1OyZPl8anpWIzEhiZEff0V4WARKpYL538+glld1RJ2O2VMWc/70JQAmTB1Jt96+2NraULNMI6N/h4Ko3MKTLjMGIchlXNh4lGMrdhmkN+zfmkYDfRB1OtKfprE1My+9rUxb8D0nTl/A3q4EO9b+WtRy8lC7RR0GzvwImVzGsQ3+7F6x3SC9/TBfvPu0RqvRkhKfzO8TlxEXHpOVblnckm8OL+XSwfOsmfGHqeVTt0VdPpn1KTK5DL8Nh9iyfItBepdhXWnTtw1ajZbk+GR+mvAjMZn6Z62ZTZU6Vbhz6TZzhs4xuXbQ1/059W/Npb9zDv1J8cn8nEP/zDWzqZypf14R6K/awpNuMwYjyGWc33iEw7nKaouPO9CwTyt0Gi1P4lPY8NWvJITHAtBpcj+qt6wDwKGft3Ftz1mT6y/XojatZ+rr/YANxziXq93y6t+KuoP09X5GahoHvl5J3P0IbD0cGXZ4MfFBKgAirj7g4NRVJtffuOX7TJo7BplczvZ1u/nzl78N0us29OKrOaOpVL0Ckz6fif+eowC4erjw/coFyOQylEoF/6zcwuY1O0yuX1mvAcVHjEKQyXi2fy/PNq7PY2PevCVWg4aAKKJ5GETKwrkA2C5YjKJaddQ3b5A8/WsTK8+LvFpdLD78FGQy1GcPkeFvWI7Nuw1DXqk2AIKZOUJxW55M7lMUUosGaWblzRAEQQvcQK8rGBgoimKiIAhlM4/niaI4PdPWEVABv4miOLKwtchkMj6Z+xmz+88gLjKOxbuWcNH/Ao/vh2XZBN96yMRO48hIy6DtgPYM+noIS0Z+S/qzdJaO/QFViAq7kvZ8t/d7rp64Smry08KWWSCCTKDznKGsHLCQ5Mg4vtg1jzt+VwwcyICdZ7iw7jAA1VrXpeP0Aawa/A3qdDV+S7bgXMUDl8qlTKY5t/7G8wZzoN8inqri6bx3Do8OXSbxfkSWTdCOs9xdewSA0j51eX/mAA4OWEyVfi0B2N76aywcbGj790R2dpwBovFGEWQyGXMWT2Fg98+IjIhip/96/A8c40Fg9haYvQZ0IykxmZb1fenUrR2TZ45h1LCv6DOoOwDtm/XAwdGeVRuX0aV1P0RRxP/gcVb/sYGjF3YX9NFGR5AJdJszlP8bsICkyDhG7ZrPbb/LBnnp6s7TnFvnD0D11u/hO30gKwcvKirJL6VrBx/6de/MlLnfFbWUPAgyGYPnfsKi/rOJj4xjzq7FXPa/SMT9x1k2IbeCmd5pIhlpGXwwoC19vx7ELyOXZKX3GN+Xu+dvFYV8ZDIZn88bzvT+04hTxfH97h8473eesBx158NbQYzrOJb0tHTaD2jP0ClDWfzFYgC2/bYNc0tz2vdvV2T6P5s3nJmZ+r/b/QMXcukPztSfkZZOuwHtGTJlKN9m6t+eqb9tEegXZALd53zErwPmkxgZx9hdC7jpd5moHGU1/HYI3/tOQZ2WQeMBPvh+3Z81I3+iess6eNQoy3cdJqEwUzJy4wzuHLtG+hPT7egoyATazB3Mhv6LSImMZ8iuOdz3v0xcjnr/9s6zXFunr/crtq7LB9MGsGmw/tknhkaxqkPR7YIok8mYsnACn/UaTZQqmvUHVnLs0Eke3gvJsokMj2T66HkMHtHP4NqYqFgG+X6GOkONpZUlW4+v5djBU8RExZryC2A9agyJk8aji43B7pffyDh7Gu2j0CwTubs7ln37kzjmC8QnTxBKZG9Rnbp5A4K5BRYdfU2nuSAEGRY9h5O6bBpiYhxWE35Ac/M8usjscpy+PXsgR9m8E3KPCkWhtMgQ36HOiqyoBeTimSiKXqIo1gTigS9ypD0EOuU47gkYrTWu6FUJVYiKqLAoNGoNp3afpIHP+wY2N8/eICNNvzXpvauBOLg6AqAKjkAVoh/dSYiOJyk2CVt7G2NJzZdSXhWJC40iISwarVpLwO6zVGvznoFNzkbIzMocMdOZVz9LJ/RSIJp0tUk158TJqwLJIVGkPIpBp9bycOc5SufSr86hX5FDf4lK7kSc1meNtLhkMpJTcfQsZ1S9nnVrEhocRlhoOGq1ht3bD+DT3tvAxqd9S7Zu0I9y7t/lR+PmDQCoVKU8Z06cByAuNp7k5BRq16kBwLVLN0zbWOVDKa+KxIZGEp8jL9VoU8/ApqC89LZSz6sWtjZv59a2FbwqEhWiIiYsCq1aw7ndp3jPp4GBzZ2zN7PqngdX72Hv6pCVVrZmeWwcS3DjRIBJdT+nkldlfd35SF93nth9gvfbNDSwuXH2Bulp6QAE5qg7Aa6fDuCZCR3k3FTyqkxkDv0nd5+gQT76M95C/aUzy2pcZlm9uvsMNXOV1Qdnb6POzDuhV+9TwsUeAOdK7gSdv4NOqyPjWTrhdx5RrYWnSfW7elUgISSKpDB9vX979zkq+RjW+xk5nq3SyhyRt6euqVmnOmHBjwl/FIFGreHADn+82zYzsIkIi+T+nSB0OkNPUaPWoM7Qt7lm5kpkgmAy3c9RVKmGNiIcXaQKNBrSjh3BrHFTAxuL9r6k7dqO+OQJAGJiYlaa+uoVxNRUk2ouCFmZyuhiVIhxUaDVoLlyAkWthgXaK99rgfrycRMqfAvQveFfEfC2dVZychZwz3H8DLgjCMLzmrc3sMlYH+7g4kCcKttJjFPFYu/iUKD9B719uHLscp7zFT0roTBTEBkaaRSdBWHjbEdSRFzWcbIqHltn+zx2DQf6MOH4D7Sb3I/ds9aYUuILsXK146kqPus4NTKeYq52eeyqDW5Nz1NLqD+1D+dm6PXH33lEmTZ1EeQyipdywqFWWYq7FfzbFQYuriVRhWf/xpER0bi4OhvYOLuWRBWht9FqtaQkP8HOvgR3bt7Dp703crkcj9Lu1PKshqu74bVFiW2uvJSkisPGOe9v0WigD5OO/0iHyf3YNWu1KSX+T2Hn4kC8Kvt5x6visHPJW3af06L3BwQcuwKAIAj0nzaEfxYU3fN3cHEgNiI7JC1OFYuDc8Hlz6d3Gy4fzVt3FhXvsv4SzvYkGpTV/Ov957zfqyV3jl0DIOLOI6p5e6G0MKOYnTWVGlWnhKtx683cWLvYkZKj3k9RxWPtkreuqTuoNZ+dWELLr/vgPzO73bIt5cTQffPot3EqHvWrmERzTkq6OhEZEZV1HK2KwdnV6ZWvd3YryeYjazh4eQerlq01+UCVzNERbUx01rEuNga5o6OBjdzDA7l7KUr8+Aslli5HWa9B7tu8FchKOKBLzC7HusRYBNv887Ng54Rg74z23nVTyXsrEHVv9lcUvJWdFUEQ5MAHwK5cSRuAPoIgeABaICL3tYWoIu+pAkaLm3fzpmKtiuz4bZvBebuSdoz+YSy/TFhq+pHmfEZl8tNw7m8/vmsxlgOL/qHVqK6mUPaK5Kc/r9Wd1f5sbjqeiws24PWlXv+9Dcd5qoqny765NJw1gOjL99FptMZV+wrPuyCbTet2oIqIYtfh9cxYMJHLFwLQGlnva5HfCF8+v8XZv/34psUY9i1aT6tR3Yyv63+UfMdTC6g+mnRrTvlaFdn7mz62vfWgdlw7esWgs2Nq8s0uBdR/3t28qVi7Itt+25pvepHwGvpbZOrf/rbozy/zFKD9va5NKVW7PEd+14eYBp68zu2jVxm9bQ4Dl44i5Mp9dFpTeyavVtdcWePPb83Hc2zRBhpntltPohNZ3mgMqzpM4/DcdXReOgKz4pZG1mvI6+T9/IiKiKZnq0H4NupF514dsHfM21EzKq9S18vlyN09SBw/muQFc7AeNxGh2DvyAtMCfgvle83RXDv9bsVF/cd4q9asAJaCIFwDygKXAb9c6QeAuUAUsPFFNxIE4VPgUwAv+9qUK17mtYTERcYaTO07uDoSHxWfx652E096jOzJ9F5T0GRosr9IcUumrprB+u/Wce9q4Gt9dmGQHBmPbY7ZBBtXe5KjEwq0v777LF3nfWQKaa9EqiqeYq7ZI4JWLvakRhas/+HOczRZMBQAUavj/Ox1WWmddswgOdi4M1uqiChc3V2yjl3cShIVGW1gExkRhaubC5ER0cjlcqxtipOYkATAvGnZaye27F9N8MNHRtX7OiTlyku2rg4vzEsBu8/Sbd7HppD2P0l8ZJxBWJe9qwMJ+dQ9NZrUpvPIHszvNT2r7qlYtwpV6lej9cB2WBSzQKFUkP40jY3frDWZ/lhVHI5u2aPJDq6OxEfn1e/Z1JNeI3vzda/JBnVnURP3Gvp7juzN1LdIf2JkPCUMyqo9SfmU1cpNauIzshu/9J6NNod2/2U78F+m7/gO+GkUMcEq44vOQUpkPNY56n1rV3tSogqua27vOkebefp6X5uhQZuhD02KuhlCYmg09uVciLwRbFzROYiKiMHFLXtWvKSrE9GRrz87EhMVS1BgMHUbemUtwDcFupgY5E4ls45ljk5o4wz162JjUN+5DVotushItI/DkLt7oLl312Q6XwVdYhzKEtnlWFbCETE5bzkGUNRtTtrmFaaS9vbwDvXN3raZlWeiKHoBZQAzDNesIIpiBvpOzHjghUNZoij+LopiPVEU671uRwXgQcB9XMu5UbKUMwqlgqa+zbjod97AplyN8ny+cAQLP55HUlxS1nmFUsGk36dwbOtRzu47/dqfXRg8DgjCsawLdh5OyJVyPH0bccfPMFTBoWy2c12lVR1iQ0wbqvYiYlzGcV8AACAASURBVAIeYlPOheKlnJAp5ZTv0pBHflcMbGzKZTcKpT7wIimzQyK3MENhaQ6AW7OaiBqdwcJ8Y3D96i3Kli+NR2l3lEoFvt3a4b/fMP7V/8AxuvfpDED7zj6cPXkBAAtLCyyt9COATb0botVoDRbmFzX55aXbufKSY468VLVVHeLeorz0rvEw4AEu5VxxKlUSuVJBQ9+mXPG7aGBTpkY5Plr4Od9/vJDkHHXPitE/MqbxZ4xt+jnr56/m5LZjJu2oANwPuIdbOTecM+vO5r7NuZCr7ixfozxfLBzJ3I/nGtSdbwP3A+4Z1P3N8tFfrkZ5hi8cyfy3TH9YQBBOZV2wzyyrdXwbcytXWXWvUZaeCz7hj2Hf8iQuOeu8IBOwKqEfIXetWhq3qqUJPGnasBhVwEPsy7lgm1nvV/dtyINc9b5d2ex6v2IrLxIy6xpLe2sEmX5mwLaUE3blnEl8ZDhgZGxuXbtD6fIeuJd2RaFU0K5ra44ferWdQEu6OmFuYQaAta01XvVrEfIg9CVXFS6awLvI3T2QubiAQoGFdysyzhr6MOmnT2Hmqd8xTrCxRe5eCq3KuO3rm6B7dA+ZkxuCvTPIFSjqNkdz43weO6GkO4JlcXTBb1dnyxQYKwxMEIR2giAECoLwQBCEyQXY9BIE4bYgCLcEQci75Vwu3raZFQBEUUwSBOFLYKcgCLm7u0uA46IoxuUXVlNY6LQ6/pjxGzPWzEIml3F4kz9h98PoM64fQdcfcNH/AoOmDMHCypIJyycBEBsRw8Jh82ncqSnVG9TAuoQ1LXu0AuDnCT8Rctt0Izw6rY5dM/7iozWTEeQyLm06RvT9cFqP7UH4jYfc8b9Co8FtqNikJlqNhmdJT9k8PvtRf/X/7J13dBRl24evmd0km95Jp4TeA9K7dBF4UZReBRtiAQUBaaIUURGk+4lSLICNqmBC770JAiGQhPReSdmdne+PjUk22YAi2U1krnP2nJ157pn9zezTy/0cXYaNgy0qKzUNej7BVyMXmdUVrSzpOTFrA72/nYogitzccoi0m9E0f2cgSZfuEBl8ngZjeuLboSF6nUReejaHJ60FwNbDiV7fvgt6PdlxqRx6s/x7TCRJYs67C9n4w2pElcgP320j9EYYk6ZN4MrFq4TsOcSWb37hs9XzOXBmJ+lpGbw+fioA7h5ubPxxNXq9nrjYBCa/WuTNZtqct+j/XB9s7TQcv/I7Wzb9zLLF5nW1q5f0bJ+9nvEbpxvcYG89SHxoFD0nPUfUlTtcCzlHu9E9qdW+MfqCuLTl7YrdSzVlziLOXLhMWloG3QaMYMK4kQzs18vSsgDD+94w+0umbpyNqBI5tHUf0aF3GTh5CHcuh3E+5AxDZ4xCY6fhjVXvAJAck8SS8QstrNyAXtKzZtYa3t80D1ElErIlmMibkQyfPJzQK6GcDj7N2PdeQGOnYdpqQzmWGJPIh+MM7k8X/fgR/jX90dhr+PrUej6f8jkXDp+/308+cv1fzFrD3AL9+7YEc/dmJMMmD+dWMf22dhqmFuhPiklkfoH+BcX0rzu1nhVm1K+X9Pw0+2te3jgDUSVyausB4kKj6D3pee5euc3VkHP0nz4cGzsbxqx6C4DU6CTWvfgJKis1r/8wF4DcrBy+mbTC7NPAZEnP77M3MHjjVASVyOWth0gKjabj5IHEXr7DrZDzPDG6J9U6NESvlcjNyGb3ZEO+X7V1PTpMHoisk9DrZfbO+JrcdPN54ARDObBwxhJWf/8ZokrFtu93EXbjDhOmjufqxesc+v0oDYPq89lXC3FycaRzjw5MmDKOZzuPILB2dd6e+zqyLCMIAhtWf8+t62butNJLZK1YivPCTxBEkdy9vyJFhGM3+gV0N6+Tf+I42rOnsX6iJa5fbjCUsf+3GjnT0Oh1WbIcVUBVBFtb3L77gcwli9GePfOAHy2vZ9GT++Ma7CbMM7guPhmMPi4S6z7DkSJDkf4wdBZaPdEZ7fnDltFoYcpj1lvBMo6VQA8gCjgjCMIOWZavFbOpDUwH2suynCoIQhXTdyt234rktUcQhCxZlh2KHe/EsIj+CLCrwEtYcfsxQIsHuS5+tlr/ivOQ/5C6QiWZC1oGtXQVbfDun/FhzhVLS3honndsYGkJ/4r5Z+dbWsK/ZuwT71hawkOTLudbWsK/onLnPBAoVt6830uukP2gf5vv8yrOyPbDENLYytIS/hWa+hXTU+PfxfHzXeZ35fYQxD/Z+aHqxl4HDpX5fIIgtAXmyrLcq+B4OoAsywuL2SwGbsqy/Lc3AatQOUrxhkrBcXFn3Y1KmCPL8npgffmqUlBQUFBQUFBQUPgPIZdLm8oPuFvsOApoXcKmDoAgCMcAFYbGzZ773bRCNVYUFBQUFBQUFBQUFMqXh50GVtyBVQFfyLL8xV/Bpn6qxLEaqA10AfyBI4IgNJJlOa3khcUvUFBQUFBQUFBQUFB4TJD1DzeyUtAw+aKM4CggoNixP6W3GYkCTsqyrAXuCIJwA0PjpcwFTpV9Wq+CgoKCgoKCgoKCwj+gnLyBnQFqC4JQQxAEa2AIpfdM3AY8CSAIggeGaWH3XSimjKwoKCgoKCgoKCgoPEbI5bBmRZZlnSAIE4G9GNajfCXL8lVBEOYBZ2VZ3lEQ1lMQhGsYNnifIsvyfXcyrlDewMqLT6qOqLQP+ZxbvKUl/Cuca2stLeFfEbTf9CZSlYVrr1Vuj2DWbyywtITHlvy1cy0t4V9x5PPK7c3MwyrX0hL+FevU1paW8Ngyr3Y8em2lcEhlErsmldcTHlQeb2BRrbs+VN3Y/9R+sz+fMrKioHAfLnZ1q7QNlsreUIHK7fr363OfWFrCY03HN6wrfYNFQeFhqMwNFYB7l7P4Kczf0jIemgmfW1rB3+Nh16xYAqWxoqCgoKCgoKCgoPAYUZkmVimNFQUFBQUFBQUFBYXHCGVkRUFBQUFBQUFBQUGhQqI0VhQUFBQUFBQUFBQUKiTKNDAFBQUFBQUFBQUFhQqJMrLyH6F65yZ0nTsSQSVyZfNBTq/aaRTedERXgkb1QJb05N/LJXjaOpJDY3Dy92Ds/sWkhsUCEHPhFiEzvja7ftt2LXCbOgFEkaxffiP96y1G4Q79e+L61otIiQb31hmbt5P1y29oWjTFbcqrhXZW1QNInDafeweOm1W/OqgVdmMngqgib99u8rZ9V8rGqm0XbAeNAVlGiggje9mHRYG2djgv3UD+6aPkrFtW7no7d23PnIXvohJFNn/zM6uXfWUUbm1txZJV82nctAGpqelMHDeFqLsxqNVqPlo2l0ZN6qNWq/hpy05WLV1HYK3qrPhyceH1Vav7s2ThKr5a+025P4uqVlOs+4wGQUR3fj/aI8Z7Oln3HoVYw+BtTLCyQbB34t7CcQjOHtgMnQyCiKBSoT25F93ZkHLXW5ImnZsxcs4LiCqRg5tD2Ln6F6Pwp8b3o8uQ7kg6icyUDL6YspLk6MTCcFsHWz7a9zln955i4+wvzS3/vsxcsITDx07j5urCtm/WWFqOSVSBjbHuOcIQfy4eQntil1G4dfdhiNXrAyCobRDsHbn3qSHPsZu+Hn3iXQDk9GTyflhqXvGAx5NNqf/haFCJRH27nzvLS+5pZsCrb2uarZvE8Z4zyLhk2NPMoUFVGn08HpWDLcgyJ3q9hz7PfC7cnbo0o+r740ElkvR9MHErfzYKd3++K/4zR6ONM3g5TFi/m6TvDWm09jezsW9Wl6wz17g1Zr7ZNBenQeemDJo9FkElcmzLPn5fvd0ovNu4p2k/pBuSTiIrJYNNU1eTEp1EnbYNeW7W6EI775q+rHt9GZd+L3NTbEX/A7Bu1QrHiRNBpSJn927ufVe6DLbp0gWHMWNAltGGhZHx4Yelb2RGAro0ocPckYgqkWvfH+RCiXpbwxFdaTTaUG/TZudycNo6UkNjENUquiwej2fj6ogqkRs/HeX8yp1l/IqCubFoY0UQhGeAn4H6sixfLzhXG/gMqA+kARnAHFmWDwuCMAb4GIgudpthsixfe+TaRIHuH47mh+GLyIxNYcTOeYQFnyM5NKbQ5s9tJ7j0zX4AavZoTpdZI/hplKFymR4Rz8an3nvUsv4+oojb9NeJf+VddPFJ+H67gnuHTqC9HWlklv37IVIWrTA6l3v2EjGDXzHcxskRv53ryTlxzmzSDT8sYjfuTbI+eAd9SiKOC9egPXsMfVREkYm3H5pnhpM5cyJydhaCk4vRLWyHvIDu2iUzyRX5YPEMhg98ibiYeHaEfE/InoOE3ijalHXwiGdJT8ugc8u+9HumN9PmvMXE8VN5+n89sba2olfHgWhsNYQc/4UdP/3G7Vvh9OkyqPD+p/4IYe/ufeX/MIKAdd8XyN0wHzkjGc3LC9BdP4ecWJTs8vdsLPyubt0L0ac6AHJWKrn/NxskHVjbYPvaJ0g3ziFnppa/7r/kiyKjP3iRRcPfJyUumXk7FnMu5AwxoVGFNuFX7zCr7xTyc/PpNqIXQ6ePYsXETwvDn3t7KNdPXTWb5n/CgD49GDawPzM+qKCukQUB696jyP1uMXJGCpoX3kcXeh45qSjvzA8pqvSoW/RA9K5WdL0un9wvZ5lTsTGiQINFL3Bm0HxyY5Jpu3cBCXvPkX0z2shMZa+h2vjepJ0LLTwnqESarnyNy6+tJPNaJFauDui1OjNqF6n64cvcHDYHbWwy9Xd/TNrvp8ktFvcBUnceJXLm/5W6PG71NkRbGzxH9DSXYiMEUWDIvHF8PuJDUuOSmbZjIZeDzxJ3q+jd370WzsJ+09Dm5tNpRA+emT6CdROXcvPEVRb0mQqAnbM98w4t59ph8+T//xX9Rogijm++Sdo77yAlJuK2Zg15x44hRRSVwSo/P+yHDydl4kTkrCwEF5f73LD8EUSBTh+OZuewRWTFpvDcrnmEB58jtVi97ea2E1wtqLdV79Gc9rNHsGvkYmr2bYXKRs2WHtNRa6wZsv8jQrefIDMqyVKPU+6Ux6aQ5YVo4d8fChwFhgAIgqABdgNfyLJcU5blJ4DXgcBi12yRZTmo2OeRN1QAvINqkhoeT3pkInqtxPWdJ6nZ8wkjm/ysnMLvVrY2FWoCoE2juujuxqCLjgOdjuy9B7Hr0u4f38euR0dyjp1Bzs0rB5Vlo6pVD31cNPqEWNDp0B7bj3WL9kY2Nt37krdnG3J2FgByRlrR9YF1EJ3d0F46axa9Qc0bEX4nkrsR0Wi1Onb+soceTz1pZNPjqS78tNnQQ/vrjmDad2pt0C3L2NnZoVKp0Ghs0OZryczMMrq2fafWRIbfJToqttyfRfSvhT4lDjk1ASQJ6cpx1PValGmvbtwe3ZWCUTdJMjRUAFRWIJg/M6wZVIv48FgS78YjaXWc3HmUJ3q0MrL588Qf5Oca9uC4deEmbj7uhWHVGwXi5OHCFUtWFO5Di6DGODs5WlpGmYi+NdGnJCCnJYJeQrp2EnWd5mXaqxu2QXf1hBkV3h+X5rW4dyeOnIgEZK1E3LbjePUuHf9rTxvEnZU70ecWjZq4d2lC5rVIMq8ZOoW0qVmgN1+5YB9Um7zwWPIj45G1OlK2H8WlZ+u/fX3mscvos3MebFhOVA+qRWJEHEl3E5C0Emd3Hqdpz5ZGNjdPXEVbkHZvXwjF1dut1H2a92nD1YMXCu3MRWXXXxyrevWQoqORYg1lcO7+/di0Ny6Dbfv2JWfbNuSsgjI4Lc3UrcxGlaCapIfHk1FQb7u14yQ1StTbtMXqbWo7G/7aGF2WDfU4QSWi0lij1+qM6nj/RWT9w30sgcUaK4IgOADtgXEUNFaA4cAJWZYLx9xlWf5DluX15tbn6O1KZkzRZoBZsSk4ermWsgsa1Z3xRz6l04wh7JtT1NvsHODJyF8/ZPDW9/BrVdcsmoujquKBLq5oWosuPglVFY9SdnbdOuC7dS2eH89C5eVZKty+VxeyfztQrlpNIbp5ok8u0q9PSURwN9Yn+gSg8vXH8YPlOM5fhTqooEIqCNiOmsC9TavNptfbx4vY6PjC49iYeLx9qpSyiYkx2EiSRGZGFq5uLvy6I5h79+5x5to+Tlz6nS9WbiA9LcPo2v7P9mbHz7+V/4MAgqMbcnpy4bGckYLgVLpABRCcPRBcPdHf/qPonJM7thM+wu7tlWiP7jDrqAqAq7c7KbFF+lNik01WCP6i8+BuXDp4HgBBEBg+cwzfL9hQ7jr/qwiOrsiZJeKPY+m8EwxxRXDxRB9erM9JbYXmhffRjJmN6j6NnPLCxtuNnJgi/bkxKdiUiD+Ojaqj8XUnMfi80Xn7mj7IMrTYPJ22wQup8Vo/s2j+C2sfN/Jji3qC8+OSsfYpHfddnmpLg+ClBK6dipVP6XLBUrh4uZFa7N2nxibj4lV22m0/qCtXD14sdb5Fv/ac2XGsXDTej8quvziipyf6xGJlcGIiKk/jMlgVEIDK3x/X5ctxXbUK61atSt7GrNh7u5JVot5m710672k0ujvDj35KuxlDODrbUG+7vfs02pw8xpxbwahTS7m49lfy0rLNpt0S6GXhoT6WwJIjKwOAPbIs3wRSBEFoDjQEzt//MgYLgnCx2MfWlJEgCC8JgnBWEISzJ7NCTZncHxM9wqYGTi5uDOHLjm9zeOFm2r4xAIDshDTWtnmLTX1mcvCDb3n68wlYO5iUWX6Y6tEu8QD3Dp0gqs9IYga9TO6pC3h8MMUoXOXhhnWtGuScMM/oxAMp+QeoVIg+/mTOfYvsZfOwf2UKgp0DNr0GoD1/ErlYY6fcMfm6jfWa/ktkgpo3Qi/padWwOx2aP8WLr40moJpfoY2VlZruvbuwe/vvj1q1aUzlRWWMGqobt0O6esooXM5IJmfVu+Qsewt1UCewdy4noaYxmZWW0bnd/plOBDauxe612wDoPqo3Fw+cN2rsKDwCynj/6oZtkP48YxR/cpZPIverOeRtW411j+EILlVMX1xePCgCCQL1543ixtzSa8cElQrX1nW5NGEFp/rPwatPS9w6Nio3qaV5cLmVFnyGK21f4lqPt8g8cokaS98wk7YHI5gsd01HnlYDOlKtSSDBXxivJ3LydMG3blWLTKGq7PofSMkyTaVC5e9P6ltvkT5vHk5TpiA4OFhIXFnvv7TdHxtC+LbD25xYuJknCuptVYICkSU9G1q8zjftJtP0pT44VS3dgftfQpaFh/pYAks2VoYCmwu+by44NkIQhF8EQfhDEITiKwRLTgMzOU4ny/IXsiy3kGW5RRuH2v9YXGZsCo6+RT0iDj5uZCWU3UN8fcdJahUMN0r5OnLTDMOi8VfCSY9IwDXQ+x9r+DdI8YmovYsSmtrLo3Ah/V/o0zNBa5jCkPnzr9jUr2MUbtezM/cOHAOdVP6CS6BPSUQsNpIiunkipxjPHZWTE9GeOQaShD4hDikmEtHHD1WdBmieeganlZuxHfkqNp16Yjv8pXLVGxcTj4+fV+Gxj68X8XHGjaXYmHh8fQ02KpUKRycH0lLT+d9zfTi4/xg6nY7kpBTOnbpAk6CGhdd16d6BPy7/SVJiCuZAzkhBcC6aFiU4uZU5OqJq3LZoCljJ+2Smok+IQlWtXrnoLIuUuGSjaV1uPu6kxpd+dw3bN6H/xOdYMn4hunzD1LVazevSY/RTfHZ0DcPeG03HZ7sw+N0RZtP+X0DOTEVwLBF/ssqIPw1KTwGTswxTSeS0RKSI68brWcxAXmwKtr5F+jW+buTFFelXO2hwqOdPq59n0/nMcpyfqEXzje/g1DSQ3NhkUo//iTYlE31OPokhF3FqXN1s2vNjk7EuNlJi7e1euJD+L6S0TOSC+J74XTB2jWuaTd+DSI1LxrXYu3f1cSfdRLlbr31jek98htXjFxem3b94om9bLu49jd4C5VZl118cfWIiYrGRFNHTEynJuAyWEhPJO1ZQBsfFoYuMROXnV/JWZiMrNgWHEvW2e/Fl19tCt5+kRi9Dva32gHZEHryMXieRk5xB3NmbeDYJLPPa/wKyXniojyWwSGNFEAR3oCvwpSAI4cAUYDBwFSgc95dl+RlgDFD2OGo5EXfpNq41vHEO8ES0UlGvXxvCSgz5u1QvqpwGdgsiNTwOAFs3RwTR8Ic6V/XEpYYX6REJ5hMP5F29gbqqH2pfb1Crse/VhXuHjCsFKo+i12rXuS3aO8aL7x16P2mRKWAA0q0biD7+iFUM+q3adyX/rHGlOP/MUdQNgwAQHJ1R+QSgj4/l3ufzSX91MBmvDSFn02ryDv9OzrdflKveSxeuUiOwGgFV/bCyUtPvmd4E/3bQyCZkz0EGDukPQJ/+PTh+5DQA0VGxtOtoGD63tbOlWYsmhIXeKbyu/7NPmW0KGIA+OgzRzRvBxRNUKlSN26G7XtrBguDug6BxQH/3ZtE5JzdQWxkONPaoqtZFX2xhtTm4fekW3jV88AyogspKTZt+HTgfbOxRp1rDGryw8BWWjFtIRnJ64fnVby7lrXYvM6nDK3w3fwNHfj7Ilo/K3/vafwl9zG1ENy8EZw8QVYYGyc0LpewEN28EjR366FtFJzV2oCrw+2LrgCqgNvqk6FLXlifpF8KwC/TGtqongpUK7wHtSNhbFP91mTnsb/ASh1q+zqGWr5N+7hbnR31CxqXbJB24jEODqoi21ggqEdd29UstzC9Psi+Foqnhg3VAFQQrNW7/60Ba8GkjG6sqRdNiXHq2JPdWVMnbWIyIS2FUqe6Du78nKisVLfq143Kw8ci+f8PqDFvwIqvHLyYzOaPUPVr2b8/ZnZaZQlXZ9RdHe+MGKn9/RG9DGazp2pW848ZlcN7Ro1gHFZTBzs6oAwIMa1wsRMKl2zhX98axoN5Wq38b7pSotzkXq7dV6xZEekG9LSs6Gb/2hk5Cta0NXs1qkXbLvGWXuZHlh/tYAkt5A3sO2CjL8st/nRAE4RBwE5guCEL/YutW7CwhUJb07Ju1gYGbpiKqRK5sOUTyzWjaTx5I3JU7hAWfp9mYnlTr0BC9ViI3PZvfJq8FwL91Pdq/PRC9TkKWZIJnfE1uupnnPkp6UhatwGv1QoPr4u170YZF4PLqaPKu3STn0Akchw7Arktb0ElIGZkkzf648HK1rxcqb09yz102r+6/0EvcW7cMh/c+BlEk/8Bv6KPC0QweixR2A+3Z4+gunsaqaQucPlsPej33Nq1Bziqd+ZsDSZKY/e4CNv6wGpVKxdbvthF6I4zJ0yZw+eI1QvYcZMs3v/DZ6gUcOrOLtLR0Jo43eH7ZuG4znyz/gOBjPyMIAj98t53r1wxTFzW2Gjp2acuMyR+Y72H0evJ3f41m1AwQRXTnDyAnRmHV9Xn00beRbhgqbuom7dH9YVx4CZ5+aHqNQMYwIUV7bBdywl3zaQf0kp4Ns79k6sbZiCqRQ1v3ER16l4GTh3DnchjnQ84wdMYoNHYa3lj1DgDJMUksGb/QrDoflilzFnHmwmXS0jLoNmAEE8aNZGC/XpaWVYSsJ3/vRjRDp4IooLt0GDkpGqtOz6KPvYMUami4qBu2RXftlNGlorsvNn3GIssygiCgPb7LyIuYWeRLeq5N/5oWm2cgqESivj9A1o0oak19nvRLt0ncW7ZnRF16NuFrdtN2j8Htb2LIBRJDSjfUyg1JT+Ss/6POt3NAVJG8JYTcm3fxfWco2ZdukR58hiovPI1Lj1bIkoQuLYvwSZ8XXl73pwVoavmhstfQ5MyXhL+zgoxDpddUlBd6Sc/m2V/x+sb3EFUix7ceIDY0ir6TBhF5JYzLIecYOH0ENnYaXlw1GYDU6CRWv2jwwunm74mrjwehJ8vF785/Xr8RkkTmsmW4fmwog3N/+w0pPBz7sWPR3bhB3vHj5J8+jXWLFrivX4+s15O5Zg1yhmXKYDCk3SOzNtDvm6kIKpHrWw6RejOalm8PJPHyHcKDz9N4TE/8OzREr5PIS89m3yRDve3KhmC6fvoSQ0IWgSBwfethkq+bt+wyN5VpnxWhrPmU5fqjgnAQWCTL8p5i597A4K54GbAEqAfEA5nAYlmWQ8pwXTxBluX7bgDySdURFcdN1z/kObf4BxtVYJxrm29/gfIiaL95pl89aq691sDSEv41L2+wnDecf8vX5yqoa+G/Sf7auZaW8K858nnljT8eVrmWlvCvWKe2trSEx5a51c07k6M8+CnM39ISHpoJd7+pFK2APwL7PlTduNHtXWZ/PouMrMiy3MXEuc+LHfYp47r1wPpyEaWgoKCgoKCgoKDwGFCZ9llRdrBXUFBQUFBQUFBQeIyoQFsDPhClsaKgoKCgoKCgoKDwGGGpPVMeBqWxoqCgoKCgoKCgoPAYoUwDU1BQUFBQUFBQUFCokCjTwCoYDpXoDymJa1O9pSX8K1Se5t29vDxQC5ZzxfhvENwq/7tPl827x8ajpLJ707J+ea6lJfxrXFa+Y2kJD42dTeX2pJips+Se0/8OT0HxZGZpTqlM7vddKZhgaQF/E2UamIKCgoKCgoKCgtkJv2n2fbQfKausK08lujKjTANTUFBQUFBQUFBQUKiQVKaRlco7TqugoKCgoKCgoKCg8J9GGVlRUFBQUFBQUFBQeIyoTMu5lcaKgoKCgoKCgoKCwmNEZZoGpjRWFBQUFBQUFBQUFB4jlAX2/xECujSh/dyRCCqRP78/yMVVO43CG4zoSsPRPZAlPdrsXA5PW0dqaAyiWkXnxePxaFwdUSVy86ejXFi5s4xfKT/UjVuiGf4aiCLaQ7+St3tzKRurVp2xGTAakJEiw8hZswAAwa0KtuPeRnTzBBmyl0xHToo3q35V3WbY/O9Fg/5TwWgP/GQUbt1/HKqajQx6rW0QHJzJnjUcAM34Oaiq1UG68ye5X31oFr2durZj1oJ3UIkqtnzzC2s/X2+s19qKT1Z9QKMm9UlNTeON8dOIvhuLlZWaDz+dSeOg+uj1Mh+89zGnjp0DsVdmHAAAIABJREFU4OkBPZkwaRyiSuRg8FE+en+ZWZ5FrNYQ686DQBTR/XEU3dm9RuFWnZ5HFVDXcKC2RrBzJGf1JET/OobrChBcvcn/7f+Qwi6ZRfdfNO/cnBfnvoSoEgne/Ds/rvrRKPx/4wfQc2hPJJ1ERkoGy95ZSmJ0IgBzN75P3WZ1+fPsNeaNnWdW3X+hCmyMdc8RIIjoLh5Ce2KXUbh192GI1esDIKhtEOwduffpqwDYTV+PPvEuAHJ6Mnk/LDWv+Acwc8ESDh87jZurC9u+WWNpOSZx7tKM6h+8gCCKJHwfQsyKX0zauT3dljr/N4UrvaeQfTkMwUpNjcWv4NCkJrJeJmL2OjJOXDWzerDv9ATes15CUImkbvmd5LU/GIU7D+yO17svoItPBiBl007Stv6Ola8n/qtnIogiqFWkbtxJ6ve/mVV7k87NGDnnBUOetzmEnauN3/1T4/vRZUh3JJ1EZkoGX0xZSXJB2gWwdbDlo32fc3bvKTbO/tKs2gHqdW7KM7NHI6hETm3Zz77VO4zCO4/rQ5shXdHrJLJSMtk8dQ2p0UkA9J02jAZPNgPg9+U/c3HXCbPrL45zl2ZUK5YOYkukA49BT1J11ijy41IAiP/6NxK/C7GE1EIadw5i+GxD/Dm0ZR+7S8SfXuP60XlIN/Q6PRkp6aybuqow/nwdtpW7NyIBSIlOYumLi8yu35xUpo0xKkxjRRAECbgCWAE6YAOwVJZlvSAIXYB3ZFnuKwiCF7AOCCiwDZdluc8j1yMKdPhwNLuGLSI7NoVnd80jIvgcqaExhTah205w7Zv9AFTr0Zy2s0fw68jFBPZthcpGzQ89pqPWWDN4/0fc2n6CzKikRy3zfg+AZtQbZC+eipySiMPcVWgvnEAfE1FoInr5YdN3KFkfvgH3shAcXQrD7F56l7yd36G7eg5sNObfPUgQsXnmZXK+mIOcnoztm5+gu3YaOf5uoUn+jnWF363aP43oF1h4rD34C1prG6za9DKLXFEUmfvRu4x+bgJxMfH8EvwN+/Yc4tbNO4U2zw8fQHpaBl1b/Y++z/Tk3Tlv8sb4aQwe+SwAfToNxt3Dla+2rGBA9xE4uzgxbe6b/K/bcFKS0/h4xfu069iK40dOl+/DCALWTw4l7+elyFmpaIZOR7p9GTklttBEe/gH/toFQt30ScQqAQDoo26S+21B49DGDtuxHyJFXCtfvSUQRZFXPnyVWcNnkhybzJKdn3Eq+BR3Q4vizu2rYUx+ehJ5uXk8NeIpxs4Yy+LXFgPw89qfsbG14anhvc2quxBBwLr3KHK/W4yckYLmhffRhZ5HTirKe/JDviv8rm7RA9G7WtH1unxyv5xlTsX/iAF9ejBsYH9mfPCJpaWYRhSpseBF/hzyPvmxyTT6dTGpe8+QExplbGavwXtcHzLP3Sw8V2V4dwAud5uE2t2Zet/O5I+nppo3/xRFfOa+SsTomWjjkgj85TMy950k/9ZdI7OM3YeJe9+4sahNTCX8+beR83UIdhpq/raKzH2n0CWkmEW6IIqM/uBFFg1/n5S4ZObtWMy5kDPEFHv34VfvMKvvFPJz8+k2ohdDp49ixcRPC8Ofe3so10+Zv4EIhnrDwHkvsGbEfNLikpm0YwF/BJ8j/lbRflHR18JZ0m8G2tx82o3oQb/pw9k4cRkNnmyGf8PqfNLnXdTWVkzcMps/D14kL8tC+42IItUXvMj1gnTQ8NfFpJlIB8k7jhHxnvkbhaYQRJFR815k8Yh5pMQlM3fHR1wIPkPMrSLNEdfuMLffVPJz8+k6oheDp49k1cQlAOTn5jO7T+Xdm+mfIlN5RlYqkjewHFmWg2RZbgj0APoAc0zYzQOCZVluKstyA2BaeYipElSTjPB4MiMT0WslwnacpHrPJ4xstMUyESs7m6ICSQa1rQ2CSkSlsUbS6sg3c4ajCqyHPj4aOTEWJB3aUwewat7OyMa689Pk7dsB97IMsjPTABB9q4FKZWioAOTlQn6eWfWLVWujT45DTokHSYfu4hHUDVuVaa9u1gndhcOFx9Kty5BnvnfetHkjIu5EcTciGq1Wx65f9tL9qS5GNt2f6sLPmw095L/t2Efbji0BqFU3sLABkpyUSkZ6Jo2DGhBQ3Y87YZGkJBv+l2OHTtOrX9dyfxbRuwZyegJyRhLoJXQ3z6Kq2bRMe1XdluhunCl9vvYTSOF/gM68m9vVDqpDbHgs8ZHx6LQ6Du88TOuebYxsrpy4Ql6uIU7fuHADdx+PwrDLxy6RY6kKAiD61kSfkoCclgh6CenaSdR1mpdpr27YBt1Vy/bA/hNaBDXG2cnR0jLKxKFZLXLDY8mLjEfW6kjefhTXXqXznoCpw4hZtQ05L7/wnG2dADKOXAZAl5yOlJ6NfdOaZtMOYNu0DvkRMWjvxoFWR/quwzh2b/PgCwG0OuR8HQCitRWCaN7KTM2gWsSHx5J4Nx5Jq+PkzqM80cP43f954g/ycw3v/NaFm7j5uBeGVW8UiJOHC1cOm3ck9y+qBtUiKSKO5LsJSFqJCzuP06hnCyObWyeuoS3QH3EhFBdvw54oXrX9CDv1J3pJT35OHtF/RlK/c9n5bnlTMh2klJEOKhKBQbWIj4grjD+ndh6lec+WRjbXS8Yfb3dTt3os0MsP97EEFamxUogsywnAS8BEQRBK5pY+QFQx28vlocHe25WsmKLepKzYFOy9XUvZNRzdnaFHP6XNjCEcm70RgNu7T6PLyWPUuRWMOLWUS2t/JS8tuzxklong6oGcUjQ0rk9JRHD1MLIRvf1RefljP3MZ9rOWo27csvC8fC8bu9fn4jBvDZrBL4Fg3qgiOLsjpxWNRMlpyQjOpjMVwdUTwa0K0q0r5pJXCi8fT2Jj4gqP42IS8PKpYmTj7eNJbLTBRpIkMjOycHVz4frVm3Tv3RmVSoV/VV8aNa2Pj58XEbfvEli7On4BPqhUKnr06YKPn3e5P4tg74KcmVp4LGemIti7mLZ1dEN09kB/93qpMHXdFiYbMeWNu7c7STFFcT85Ngl3r7ILpB6De3LuwDlzSPtbCI6uyJnJhcdyRgqCY+m8B0Bwckdw8UQfXmz0Sm2F5oX30YyZjeo+jRwF01h7u5MfU/T+82OTsfYx3mTPrlENrH3dSQsxjjf3roYbKnQqEZuAKtg3qYmNr3G+W96ovdzRxhblnbq4JKxMxH/H3u0J3L0C/xXTURdrrKt9PAjcvYLaR9eTtPZHs42qALh6u5MSW/TuU2KTcfUue4PDzoO7cengeQAEQWD4zDF8v2BDuessCxcvN9KKxZ302BScvcrW33rQk/x58CIAMX9GUr9LEFYaa+xdHandtgEuPparSJtKB1Y+pZ/FrU9bGocsofYXU7D2tWzF39XLjZSYorifEpuC633y/s6DunG5IP4AWNlYM3fHR8z6ZSHNe1bshtmjQI/wUB9LUGGmgZVEluXbgiCIQJUSQSuBLYIgTARCgK9lWY4peb0gCC9haPAwzKUVHR1q/zMBpdpIpkfyr24I4eqGEGoNaEvzNwZwYPJaqgQFIkt6NrV4HWtnewb8NIuoo3+QGZlY+gblhan4VPIBVCpEbz+yF05GcPXE4b2lZL43DkQV6jqNyJz9CnJyPHYTZmHVsRfaw+adu1yKMqZSqIM6ort8HGTLzcAs3aamtF6TcUrmh2+3U7NODbaFfEN0VCznT19CkiQy0jOZPWUhn3+5CL1e5vyZS1St5ldOT1Bc5983VdVtiS70fOlntXNCdPdDH2H+6Rim/wrTcafLM12o1aQW0weVywDto6OM3ix1wzZIf54xev85yychZ6UhuHiiGT6N3IQo5LQEMwn9D2Ay7yweLlB97ljC3lpeyixh8z5sa/vTeM/H5EUlknn2OrIklZtUk5hKACXI2neKjJ0HkfN1uA59Cr+PJxMxYgYAutgkbj89EXUVNwLWzCTjt2NIBaO75Y1J5WXE/fbPdCKwcS0+HDwTgO6jenPxwHmjxo7Z+TvlbgFPDOhAQJNAVgx+H4AbRy4T0CSQN3+eR1ZyBuHnQ9FLFlxV8KB0AKQFnyF52xHkfB1VRvYkcOkbXB9kakKMeTBVDpeV97cb0InqTWqycHDRlNnJ7V4mLSEVzwAv3v1+LlHXI0iINO9aXXNSmaaBVdjGSgGl3qQsy3sFQQgEegNPARcEQWgky3JiCbsvgC8A1gSM+McDV9mxKTj4FvUiOPi4cS8+tUz7W9tP0nH+WABqDWhH5MHL6HUSuckZxJ29SZUmgWZtrMgpSQhunoXHopsncppxJq5PSUQK+xMkCTkpDn3sXVRe/sipiUgRtwxTyADt+WOoajZAi/kaK3J6MoJLUW+f4OKOnGG6h08d1JG8n9eaS5pJ4mIS8PEtGvXw9q1CfFxiaRs/b+JiE1CpVDg6OZCWmg7A/JlFc65/+PVrwsMMi/z27z3M/r2G6W1DRj1rlsJLzkoz6skXHF2Rs01XVtR1WpB/4HuT56Wwi6A3f2GbFJuMh29R3Hf38SDFRO9w0w5NGTRxMNMHTUNXMPWlIiBnpiI4FvUGCk5uyFmm8x5Vgzbk7zHuSZazDP+VnJaIFHEd0bsaktJY+dvkxyYb9RBb+7gXLiAGUDnYYluvKg1++gAAK08X6q6fzo0xC8m+HEbE3K8LbRvuWEDu7aK1XuZAF5eEVfGREm8PtPHGeb+Ulln4PXXLXqq8O7b0fRJSyAuNxK5lQzL3HCs/wcVIiUs2mtbl5uNOanzptNuwfRP6T3yO+YNmFabdWs3rUrdlfbqP7I3GXoPaSk1edi5bPvrGLNoB0uJScCkWd5x93EhPKJ1267RvRI+Jz7Bi8PtIxfKekJXbCFm5DYARy14n8Y55405xTKUDbZzxf6FLzSr8nvBtCAHvjTSbPlOkxCXjVmwk083HjTQTeX+D9k3oN3EgCwbPMsr70wr+q8S78Vw/eZWqDWv8pxsrlWmBfYWcBgZQ0CCRgFKlrCzLKbIsfyfL8kjgDNDpUf9+wqXbOFf3xjHAE9FKRc3+bQgPPm9k41zdq/B7tW5BpIcbpvhkRSfj174hYFi7UqVZLVJvlRr8KVekO9dRefkheHiDSo1V6yfRXjhuZKM7fwx1/SAABAcnRG9/9AmxSLdvINg7Ijg6G56hQTOjhfnmQH83FNHDB8GtCqjUqIM6Il0tvbBc8PRDsLVHH1F6GpI5uXzhKtUDA/Cv6ouVlZq+z/Ri355DRjb79hzi2SF9AXiqfzdOHDFMkdLYarC10wDQvnNrdJJUuDDf3cPQaHBydmT42OfZ8o1pr0SPEn1cOIJLFQQn94JRthYmvXkJrl6gsUMfe7tUmGEdSzk7AiiD0Es38a3hi1eAF2orNZ36deJ08Ckjm8CGgby2cCIfjPuA9OR0i+gsC33MbUQ3LwRnDxBVqBq0QXfzQik7wc0bQWOHPvpW0UmNHagK+qBsHVAF1EafFF3qWoWyybp4C00NH2wCqiBYqXH/XwdSfy+azihl3uNcozFcaP0KF1q/Qtb5m4UNFdHWGtHWBgDnTk2RdVKpBcnlTc7lm1hX98PK3wus1Dj37UTWPuP4r/Ys6oxw7N6avILF92pvdwQbawBEJwdsn2hA/m3z6b996RbeNXzwDKiCykpNm34dOB9sPJW0WsMavLDwFZaMW0hGsbS7+s2lvNXuZSZ1eIXv5m/gyM8HzdpQAbh7KQzP6t64+XuislLRrF87rgYbTxX0a1id5xe8yJfjPyYrOaPwvCAK2Lk4AOBTryq+9apy40i5zHL/W5RMB24l0gGAVZWieOTasyW5oZbNa+5cuoVXdR88/A3xp3W/DlwIPmtkU7VhDcYueJml4xeRWez92znZo7Y25J0Oro7UfqKekWOH/yIywkN9LEGFHFkRBMETWAOskGVZLj60JwhCV+CkLMv3BEFwBGoCkY9agyzpOTprA09/MxVBJXJjyyFSb0bT4u2BJF6+Q0TweRqN6Ylfh4bodRJ56dkcmGTo3f9jQzBPfvoSg0IWgSBwY+thUq7ffcAvPmL0enI2Lcd+ykcG17+Hf0MfHYHNM2OQwm+gu3AC3ZUzqBu1wGHBV6CXyN3yBXK2IfHmbl6L/bsGbz1SeCj5B3ebXX/eL19g++JcEES0Z/ahj7+Lda9hSHdvIV0zVIStmnVEd/FoqcttJyxArOIPNhrsZq4jb+sKJBMVvkeFJEm8P+0j1v+wElEU+fG7HYTeuM1b017hysVr7NtzmK3fbuPTVR+w//R20tLSefPF6YChQbL+h5Xo9TLxsQm8/WrRsPSsBVOo17AOACs++aJwxKVckfXkH9iMzTNvGlznXj2GnBKLVZt+6BMikG4bClB13ZZIN86WulxwckdwdEUfFVr+Wk2gl/SsmbWG9zfNQ1SJhGwJJvJmJMMnDyf0Siing08z9r0X0NhpmLbaMP0rMSaRD8cZesoX/fgR/jX90dhr+PrUej6f8jkXDp+/308+WmQ9+Xs3ohk6FUQB3aXDyEnRWHV6Fn3sHaRQQzxWN2yL7ppxJVR098Wmz1hkWUYQBLTHdxl5EasITJmziDMXLpOWlkG3ASOYMG4kA/uZx2vf30LSE/7el9T7bjaCSiRh8z5ybt7Ff8oQsi+FlaqwFcfK3Zl6388GvUx+XDK3Xv/cjMILkPTEvb+aqus/QBBF0n4MJi80Es+3RpBzJZSsfadwG90fh26tQZKQ0rOImfoZADY1A/CaMd4wdUkQSP7yZ/Jumq+jSi/p2TD7S6ZunG1wPbt1H9Ghdxk4eQh3LodxPuQMQ2eMQmOn4Y1VBq9NyTFJLBm/0Gwa74de0vPT7K95eeMMRJXIqa0HiAuNovek57l75TZXQ87Rf/pwbOxsGLPqLQBSo5NY9+InqKzUvP7DXABys3L4ZtIKy04DK0gHdQvSQWJBOvArSAdpv5/Be1wfXHq2RNbpkdIyCZtUemqkOdFLejbN/pIpG2chqkQOb91PdOhdnpk0hPArt7gQcpYh00dhY6fhtVVvA0Uuin1r+TNmwcuFeefu1b8YeRH7L1KZRlaEsubzmRsTros3AUtMuC6eAowtsBExrFn5tIzbAg83DayiMLSr5YaBHwUqTwdLS/jXNF1v5obmI+LKzJYPNqrgDF5SeUcFNr9c9sLayoD1y3MtLeFfc65J5XVD6mRrXg+Mj5oFOhtLS3hoPAVrS0v4VwzJz3+wUQVmlXXlWUthig3hP1WKB/jVa8hD1Y37xG82+/NVmJEVWZZV9wk7CBws+P4x8LF5VCkoKCgoKCgoKCj8t1AW2CsoKCgoKCgoKCgoVEj0laetojRWFBQUFBQUFBQUFB4nLLVnysOgNFYUFBQUFBQUFBQUHiMq02LuCuu6WEFBQUFBQUFBQUHh8eaxGFl5vknl9OYEoEsCtUfl/ZsyT2Y82KiCE5FROTeFytpp2b1nHgUijpaWoFCJeeLyJ5aW8NBIt8892KgC82r/LZaW8NCkVKLpMaaQTOzkXploK9laWsJjQWVyXVx5a8GPEYsOeT3YqILyhn/ldr2soPCwHPm8crsPdVlZed3+QuVuqCgoKCiUN/pK1KhVGisKCgoKCgoKCgoKjxGVac2K0lhRUFBQUFBQUFBQeIyoTNPAlAX2CgoKCgoKCgoKCo8ReuHhPg9CEITegiDcEAThliAI0+5j95wgCLIgCC0edE9lZEVBQUFBQUFBQUHhMaI89lkRBEEFrAR6AFHAGUEQdsiyfK2EnSPwBnDq79xXGVm5D1ZPtMJl7SZc/u9bNM8PM2lj3eFJnFdvwHnVehymzAJA9PTCedkXOC//EudV67F5qr85ZRdSp3MTJu/7hHcOLqHzq/1Khbca3o039yzi9V8X8PIPc6hSyw8AOxcHxn//HnOvfkX/98eYWbVpbFq3xPO7DXhu/gb7EUNN2mi6dsFj09d4bPoalzkzzaKrV88uXP3jMNevHWXqlNdKhVtbW/Pdt6u5fu0ox4/upFo1/8Kwd6dO5Pq1o1z94zA9e3QGoE6dmpw983vhJyXpOm+8Pt7onpMnvYwuPxp3d9dyey7rlq1wW78Jt43fYjfEdNy36fwkbl9twG3depxmzCo877xwMR7bd+E8f2G56XsQzTo3Z9WBNaw5/AUDJzxXKrz/+AGs2LeKZXuXM+/7+Xj6eRaGzdn4Pt9e2czMr2ebU7IRHk82peOxJXQ8uZQar5edf3j1bU3v+M04NQ0sPOfQoCptds+j/aGPaX9wMaKNlTkkG+HcpRlNjywn6NhKfCc+U6ad29NtaRPzM/ZNagIgWKkJ/GwiTfZ9RuPgJTi1bWguyX+bmQuW0OnpIQwY8YqlpZjk2OWb9J+ylL5vL2HdzkOlwmOSUnlx4Vc8N2M54+Z/SXxKemHYq4s30OHlD5n46SZzSjbC5ckgmh9dRvMTy/GbOKBMO/e+bWgf9yMOTYviTq2lEwg68ClB+z7BqZ1l4o7nk0158uindD3xGbUmlp12ffq2ol/c9zgXS7sAtn7uPBX2NYGvPl3eUk3i8mQQzY58TrPjK/C7T9p1f7oN7WJ/wr74+//sNZruX0LTkE8tlnYDujRhyMGPGXrkU4ImlK73NBjRleeDF/Lcnvn876dZuNb2BUBUq3hyycs8H7yQwfs/otlrpa/9ryE/5OcBtAJuybJ8W5blfGAz8D8Tdh8Ai4Hcv6PVIiMrgiBIwJWC378DjJRlOa1Y+CRgIeAly3J6wbkuwHbgNmAHxAOLZVneVS4iRRH7V98iY+bb6JMScf5sLdqTx5DuRhSZ+PphO2g4GVNeQ87KQnB2AUCfmkz626+BTgsaW1xWfU3+qWPIKcnlItUUgijQf95Y1o1YSEZcMq/t+JA/g8+TcCu60ObS9uOc/nYfAPW7N+fpWSP4evRHaPO0BH/6I151/fGuE2A2zWUiijhNfpOUSVOQEhLx+HINeUePowsv+i9U/n44jBhG8oTXkTOzEF1czCBL5PNl8+ndZyhRUbGcPPErO3f9zp9/hhbavDB2KKmp6dRr0IFBg/qzcMF7DBv+KvXr12bQoP/RJKgrvr5e7P1tM/UbduTmzTBatOxZeP/I8HNs2/5b4f38/X3p3q0TERFR5flgOL7xFqlT30afmIjrqrXknTiGFFHsffv5YTd0OKlvFMT9Yu/73tbNCBoNtn0tk9mLosjLH77KnOEzSY5N5pOdn3E6+BR3Q4tcmN+5GsbkpyeRn5tH7xFPMWbGWD5+bTEAv6z9GRtbG3oN720R/YgCDRa9wJlB88mNSabt3gUk7D1H9s1oIzOVvYZq43uTdq4ovgkqkaYrX+PyayvJvBaJlasDeq3OzPpFaix4kT+HvE9+bDKNfl1M6t4z5IQax1nRXoP3uD5knrtZeK7K8O4AXO42CbW7M/W+nckfT00FueIsBR3QpwfDBvZnxgcVz9uYpNezYMNO1r47Fi83J4bNXkOX5vWp6Vel0GbJd3vo1yGI/h2bc+pqGMu2/s6CV54HYMzTHcjJ0/LjgTOWeQBRJHDheK4Omkd+bApN9ywi5fez5Nw0jjsqew0+JeKO1whD3Ln45NtYeTjR4Nv3uNR7mnnjjijQeOFYTg5aQE5sMh33zCfu93NkmUi7Ncb1JrVY2v2Lhu+PJGH/RXMpNkYUCVzwIlcHzyM/Npkmv31Eyu9nSr1/0V6D9/injd9/Qdq91HUyVu5O1P9uJpd7v2vW9y+IAh0+HM2uYYvIjk3h2V3ziAg+R2poTKFN6LYTXPtmPwDVejSn7ewR/DpyMYF9W6GyUfNDj+moNdYM3v8Rt7afIDMqyWz6zc3fmdL1EPgBxfcLiQJaFzcQBKEZECDL8i5BEP6W20lLjazkyLIcJMtyIyAFKNklPRQ4A5Rs1h+RZbmZLMt1MQwfrRAEoVt5CFTXqY8UE40+LhZ0OvIO78eqTQcjG02vfuTu+gU5KwsAOb2gvaXTGRoqgGBlBYL5X3NAUC2SI+JJvZuApJW4tPME9Xs+YWSTl5VT+N3azga5IFPR5uQRcfYGujytWTWXhVX9ekhRMUgxhv8iJ2Q/Nh3aG9nY9etL9s/bkDMN/4U+Lc3UrR4prVo2IywsnDt3ItFqtWzdup3+/XoZ2fTv15NNm34A4KefdtP1yQ4F53uxdet28vPzCQ+/S1hYOK1aNjO6tlvXDty+HUFkZFFB9+knc5k2Y37hf1UeqOvVRxcdjT62IO4f2I9NuxJx/+l+5OwoFveLvW/thfPI9+6Vm74HUTuoDnHhscRHxqPT6jiy8zCterYxsrly4gr5uXkA3LhwA3cfj8Kwy8cukVMsbZgbl+a1uHcnjpyIBGStRNy243j1Lj2lt/a0QdxZuRN9blE6de/ShMxrkWReiwRAm5oFevNW9B2a1SI3PJa8yHhkrY7k7Udx7dWqlF3A1GHErNqGnFfk4tm2TgAZRy4DoEtOR0rPLuy5rSi0CGqMs1PF3P/nj7AoArzc8a/ihpVaTe82jTl47k8jm7CYRFo3NLzTVg0COXiuaD+m1g1rYm9rbVbNxXFsVovcO3HkRSYga3UkbjuGW6+WpeyqvjuE6FXb0Rcro+zq+JN+5AoA2qQMdBn3cAgyb9xxbVaL7Dtx3Is0pN2YbSfw7lU67dZ7dxC3Vu1EKlHGevduQXZkApk3yrEz6j44NKtFTnhcYdpN2n60jPc/lJiV29AbpV1/0o4WvP/kDHTp2YWjXuaiSlBNMsLjyYxMRK+VCNtxkuol6j3aYnm7lZ1NUWNKBrWtDYJKRKWxRtLqyLdgOWAO9A/5EQThJUEQzhb7vFTstqaaQIWFkCAIIvAZ8PY/0VoRpoGdwNASA0AQhJqAAzATQ6PFJLIsXwTmARPLQ5To7oE+KaHwWJ+UiMrdw8hG5eePyi8Ap49X4PTpKqyeKCqQRQ9PnFd8hev6H8j58TuzjqoAOHm5kh5T9JsZsSk4e7mVsmszsgfvHPo3/UaHAAAgAElEQVSM3tOGsXPuRnNK/NuoPD2QEor9F4mJqDyN/wt1gD/qgADcVy3Hfe1KbFqXzmAfNb5+3tyNKuqxiYqOxdfXu0wbSZJIT8/A3d0VX18T1/oZXzto0P/YvGVb4XHfvj2Ijo7l8mWjqZ+PHJWHB/pE4/ctepR43/7+qPwDcFm2Atflq7BuWboyaincvd1JikksPE6OTcLdy71M+x6De3LuQMXZgM/G242cYmk3NyYFG2/jtOvYqDoaX3cSg88bnbev6YMsQ4vN02kbvJAaFpjKYO3tTn4x/fmxyVj7GOu3a1QDa1930kKM3/u9q+GGho1KxCagCvZNamLjaxz3FMomITUDbzfnwuMqbk7EpxpvzFu3qjchZ64CsO/sNbJz80jLtFznQnGsfdzIjynqyc6PTcamRNyxb1QDa18PUoON40721XDcehfEnapVcGgSiI1v2em+PND4uBqn3dhkND7G03WdGlXH1teNhOALRudVdjbUnNiPm5/8ZBatprDxdiM/uvj7T8Ha2/gd2jeqgY2vB6kl0+61CEPDpiDtOjSpibWfedOuvbcrWTEphcdZsSnYe5eeLt1wdHeGHv2UNjOGcGy2od5ze/dpdDl5jDq3ghGnlnJp7a/kpWWbTbsleNhpYLIsfyHLcotiny+K3TYKKD4lxx+IKXbsCDQCDgqCEA60AXY8aJG9RRfYFyzE6QasK3Z6KPA9cASoKwhCFVmWE0xdD5wHppSTuFKnSvVPqlSofP3JmPYmoocnTouXkz5hLHJ2FvqkRNInvoDg5o7TzPnkHzuEnJZaLlJNYkq/id74k5uCObkpmKb929H19QH88PYac6j7Z5jauKjks6hUqAP8SH79LVRVPHFf+TmJo8YiZ5VfZiP8jXds2ubB11pZWdGvb0/em2lY92Frq2HGtDfo3cf0+pFHi6n3XeJYpULt50/a5DcRPT1xXbqclHGGuG9xTEYX06MLnZ/pQq0mtZgxqEyHJebH5NB8Mf2CQP15o7jy5urSl6pUuLauy4le7yHl5NHqx5mkX75DypE/yk1uaREmzhV//YJA9bljCXtreSmzhM37sK3tT+M9H5MXlUjm2evIklRuUv9rmIrmJfOayUN7s3DjLrYfucATdatT5f/ZO/O4KOr/jz9nllsE5EZBEfFEBe+zvO1Qy76VmReWZmnZoal5m5pXZmWWHVpqGWpmHqkp3rcCKt4CIiL3sdxy7e78/liEXUDxYhd+ztPHPmTm857Z18y+PzOf93w+n/fUskGhqArPLan4viUI1J87kvCPVpSxSww4gFVDd3z3LCY/JoXM4OtIKgMnZy33XqVf7jN3OOfLqbuNJ71G5M+7Ud/Jrzx9FVHRvVYQ8Px8JBHlnv/9WDasg+9/S4rq7nUklYHr7j3ut6W5vHYfl9fuw3tgJ1p/OJCDE37C2c8LSa3h97bjMbOtwcC/ZxJz7BJZ0clld/D/hEoaBhYENBQEoT4QCwwGihsuRVM7iqNYQRAOAZ9KkhR8v50aK1ixFAThPOAJhACBOmWDgVckSdIIgrAFeB1tZoHyuOepLuqWGgPwVfOG+Nd1eyiBmpRkRMeScb6ioxOa1JQyNqrrV0CtRpOYgCbmNmJtd9ThJd3qkjIVVXQUpj4tKThedrJjZZGZoMRW56mSjZs9mUn3DpYu7DjJwPlvG0LaQ6NOSkbhrPNbODmhTtHvqVInJ1N4WftbqOMTUEXfxsTdncJr1ytNV2xMPB7utYuX3eu4ER+fWK5NbGw8CoUCW1sblMo0YmPL2TauZNvnn+/BuXMXSUrS+lyDBp54etblbLC2qri7uxF0eg+duvQjMfHJXkzVKcmITvrnu4zvJydTeLXI9xMSUN++jcLdHdX1a6V3Z3BS41NxrF0yYd7BzRFlkrKMnW9XX17/4A2mD/oMVYGB53Xch/x4JZY6ddeitj35CSV118TaAusm7rTfok0AYOZsS+t1n3J2xFLy4lNJO3GVQmUWAMn7zmPTwtOgwUpBfCpmOvrN3BwoSCg5/wprSyyb1KXZ3/MAMHWyo/GaqVwfuZCcCze4Nee3Yluf7QvIi4w3mPbqjou9DQk6E+aTlJk42+kPWXOuZcPXH2nbDnfy8tkXdJmaVhYG1XkvCuJSMdPpSdP6TonvK6wtsWrsQfMtn2vLnexounYKV/0Xkx16g5uz1xTbttjxBbk3Des7eXGl6q6bA3ml6q5NYw86F9Vdcydb2q/9lDP+S7Fr5Y1b/w40mzkEUxsrJI2EJr+QqF/3Gkx/fnyqXm+ImZs9BYn6ddeqSV18tszVljvZ0XTNZ1wduYic0BtE6Zz/5tu/IM/A5z8nXol17ZKeOGs3e+4k3rvdE7HtFM988RYA3gM7E33oAhqVmrzUTBKCw3Bu6fX/O1iphH1KkqQSBOEDYA+gAH6VJOmyIAhzgWBJkrY/yn6NOmcFqAeYUTRnRRCElkBDILCoe2gw9xkKBrQCrpZXoNtN9bCBCoAq7BqKOu6ILq5gYoL5sz0pPH1cz6bg1DFMWmjnGQg2toh1PNAkxCE6OIGZdtyvYG2NabPmqGNul/mOyiQm9AaOnq7UcndCYarAd0AnrpbqNnfwLBl21LhnK1KiEgyq8UEpvHYNhUcdFG7a38Kyd0/yj5/Qs8k/egyz1kW/ha0NJh7uqOIq90IZFHweb+/6eHp6YGpqyqBBL7PjX/0by45/9zJ8uHby6quv9uPgoePF6wcNehkzMzM8PT3w9q7PmaCSYQGD3xioNwTs0qVr1Hb3xbtRR7wbdSQmJp52HZ574oEKgOraNUzquCO6Fvl+j57kn9D3/fzjxzD1K/F9hbsH6vi48nZncMJDw3CrXxtnDxdMTE14ZsCznAnUz45Y38eLsQs/4ItR88hIzbjHnoxDxrkbWHm5YlnXCcFUgevAziTtKam7qqxcDjQbw+F24zncbjwZIRGcHbGUzNBIUg5ewLpZXURLMwSFSK3OTctMzK9sss9HYFHfDXMPZwRTExxe7kra3pIJ2+qsO4Q0H8m5Du9xrsN7ZJ8NKw5UREszREtzAGyf9UVSqctMzJe5Nz5edYhOSCUmSUmhSsV/py7SrXUTPZu0rBw0Gm0zZfWOIwzs1toYUssl63wEll5umNfV+o7TwC4oS/nOGZ+3CWk3jpB248g6G14cqIiWZohWd32npdZ3wgzrO+nnb1BDp+7WHtiJhL36dXePzxj2t/uQ/e0+JO1sBGf8l5IRGsmJgZ8Xr4/8ZTfhy7caNFABbd211Km7ji93Rbmn5IG3OusOQT5vcbb9WM62H0vW2bDiQEW/7rZEUmsMfv6TQiOx9XSlpocToqmCBi91JKrUUFlbT5fiv+v18iOjqN2THZtKnS7aDGYmluY4t/ImLaJq3NMqi0eds1IRkiTtkiSpkSRJDSRJ+qJo3azyAhVJkrpX1KsCRh4GJklShiAIHwLbBEFYiTYwmSNJUnHOU0EQbgqCUK/0tkWBzUxgdOmyJ4JGTc7Kb7CZtxREkfzAXaijo7Ac9jaq8GsUnj5BYcgZTFu1w3blWtBouPPrSqSsTEz82lJz9Li7433I3bIR9a3ISpF5b/kats9aw9vrPkNQiARvOkRSeCy9P3mN2IuRXN13lk7+ffHu0hy1SkVuRg5/TSzpmp587FvMrS1RmJrQrG8bfh2+SC+TmEFRa8hcthz7ZUtAFMnduRvVzSisR71F4bXr5B8/Qf7pIMzatcPx999AoyHzhx+RMjMr3vfjyFKr+ejjGeza+ScKUWTN2o1cuRLGnNmfEhwSyr//BvLrbxtYu2Y5164cIy0tnSHDxgFw5UoYmzfv4GLoQVRqNR9+NL24AWFpaUHvXs8ydtyUStV/TzRqsr77BrvFSxFEkdzdu1DfiqLGyLcpvH6NgpMnKAg6g1nbdtj/uhbUGrJ/Xll8vu2++Q4Tj7oIlpY4bPiLrKVLKAg2XHYhjVrDzzN/ZM7vcxEVIvs3BnI7LJohE4YScTGcM4FneGv621haWTB5pXb4V0pcMl+M0j7pX7B5Me4N3LGoYcHq02tYMWk5546cvd9XPlEktYYrU3+j7YZpCAqRmICDZF+PwXvy62SERpK8597za1QZOUT9uJNO/30BQPK+cyTvO3dP+0pBrSFq+iqa/DkLQSGStGE/uWG3cZ80mJzQG3qBS2lMHWxpEjALNBIFCalEjF9uQOEPxqTZiwg6d4H09Ex6DRzGuFHDebVUYg1jYaJQMHVEf8Z+uRaNRsPAZ9vg7e7C93/vw6d+Hbq3bkrw1Zss3xQIArRp7Mk0/5J5TSPn/UJUfDJ38gro8+ES5ox+hS4tGxruANQaIqetwidgBihEkgIOkHs9hrqT3yD7/A2Ue+/dpjF1tMUnYAaSRqIgQUm4EXxHUmu4NG0NHQOmIihEbgccIvt6DI0nv0b6+Zsk7q06c+PKpej8NwuYiaAQSdxwgNyw23hMGkx2aARp9zv/DrY0C5iJJEkUxCuNUncltYZjM9fS74/JCAqR6xsPkxYWS9uJr5J84Sa3As/SfGRf6nT1QaNSk5+Rw8FPfgLg0tpAenw1hkH7FoEgcH3TEZTXDPuQ2dBIlTMMrFIQKjOr0D2/VBCyJUmy1lneAWxCO2H+BUmSrumULUObpvg0+qmLk9CmLt5R0fel9utWdfJePgJLL9ep2KiK8qF79R/C4XEmrGKjKkjcM97GlvDYvBNeNbMuPQhj860rNqrC2CkKKjaqwrS5UPVSCz8M6sgq3rCtgJCXNhpbwiOjxPDvJnqSOAjVu+5eMLE0toTH4r3bf1SLMOAHj2GP1DYeZ4TjM0rPim6gUrR899FOmTdRSZI0QWfRtnS5jIyMjIyMjIyMjMyDY+D0E4+FUYeBycjIyMjIyMjIyMgYluo05KiK5CuUkZGRkZGRkZGRkZHRR+5ZkZGRkZGRkZGRkXmKqKT3rFQKcrAiIyMjIyMjIyMj8xQhz1mRkZGRkZGRkZGRkamSyMFKFSM3RWFsCY9FdZ5YVPMZ+4qNqjgWZ82MLeGRMK9bvdNvAnjdqL7pfx1N84wt4bGwMi80toTHorqn/lV4tTG2hMdCzSZjS3hqcbC9Y2wJj0UP7hCTZmNsGf/vqU4T7J+KYEVGRkZGRkZGRkZGRos8Z0VGRkZGRkZGRkZGpkoiDwOTkZGRkZGRkZGRkamSyMPAZGRkZGRkZGRkZGSqJJpqFK7IwYqMjIyMjIyMjIzMU4Q8DOz/CeYd22E34QMEUSRn+y6y1gXolVv1ew7b8e+iTk4BIPuvrdzZvgsA2w/GYNGlIwgCeWdCyFi2wuD6G3ZrSb9ZIxAVIsEbD3Jk5Q698vZDe9FheB8kjYb8nHy2Tl1FckQslnbWDFn5EXVaNuDc5iPsmL3G4NoBFI38MO//NogihUH7KTz8j165Wb+RKLyaAyCYmSPUsCVn7ghEN0/MB44BcyvQaCg8uBnVxROVrrd3n2dZ8uVsFAqRtWs2suyrH/X1mpnxy6qv8GvVHKUyHf/hHxAdHUubtr58t2KB9jgQWLDgG3Zs3wuArW1Nvv9hMc2aNUKSJMa+N5kzZ85V+rGYNG+HxZBx2nN/ZDf5uzaUsTFt1w3zl0cAEurbkeT+tABFE18s3xxbbCO61eXOyvmozlX++delSTdfXpnlj6AQOb3xAPtXbtcr7zbqRToO7olGpSZbmcWGyT+SFqutx/0/G0KzHq0A2PvdFs7/e9Kg2gFsurei7uejQSGSEhBIwvdb9ModXu+J+wx/ChOUACSt2UlKwD4AGv4xixqtGpMddIWIkV8YXDtAjWfb4DpzDIJCJG3jXlJ/+kuv3PbV3rhMeRtVYioAyt93kL5pL6a1nXBfOQNBFMFEQdq6HaQF7Da4/uMXwlj8+y40Gg2vdG/DqAHd9MrjUtKY/cs/pGXlYFvDkgVjX8fF3haAsUvWcvHGbfwa1WPFxOEG114RMxYs48jxM9jXsmPrHz9WvIGBqdXDjwbz3kJQiCSs38/tFVvLtXPs35FmqyZy9rkpZIdGIpgoaLTsPaxbeCEoRBL/Oszt78rftjJx6uFL83kjEBQi0esPErFie7l2bv3b03bVJxx5bjoZoZHF6y3rOND9yFKuL91M5MqdhpJdjFXXNrhMfw9EkYzN/6H8Rb/u2rzSG6dJo1Elaq+X6et3kLF5T3G5WMMKz10/kb3vBEnzVhpUO4B9D18azR+JoBCJW3+AW99tK9fOuX8HWqyewJm+U8kKjcTl1a7UGzeguNy6WV3O9P6M7Mu3DCXd4FSffhUjBiuCIDgA+4sWXQE1kFy03B7oB2wBmkqSdK1om7bAGqC1JEkFgiA0AAIBP0mSMp+oQFGk1qSPSB4/CXVSMs5rVpJ79ASqm/qOm7vvEOlLl+utM2vhg1nL5iQOHQ2A08/fYt7al/yzoU9U4v0QRIEBc9/it2ELyUxIZez2+VwNPEtyRGyxTei2E5xZr/0JmvRuzYszh7HWfzGq/EL2fbUZl8buuDTyMJjmUgeA+UvvkLt6LlJmKpbvL0Z1NQgpKabYpGDnmuK/TTu9gFi7PgBSYT55m75DSo1HqFkLyw++RBV+HvIqL52jKIos+3ouL/UfTmxsAkeObmPXzn1cuxZRbOM/chDp6Rn4tujBa6/1Z978z/AfMZ4rl6/zTJeXUKvVuLg6cerULnbt3I9arWbJl7MJDDzMsKHjMDU1xcrKotKOoRhBxGL4eHKWTkFSJmM963sKz59AExddcrwudTDv9ybZCz6CO9kINe0AUF8LJXv2e9rd1KiJ9aK1qC4bNoWsIAq8Ovdtfhz2BekJqXyyfQGXAkNI1PH92CtRLBswjcK8AjoP68OAqUNZ98G3NOvRCncfT5a+OAUTM1M+2DiLq4fOk5+da7gDEEXqzn+XsCGzKYxPpenOL0nfe4a88Bg9s7Qdx4ie8UuZzRNWbkW0NMdpWF9DKdZHFHGbM5Zb/jMoTEjB65+vydp/ioKI23pmmTuPkPC5fmO5MDmNqNcnIhWoEKwsaLD7B7L2n0aVpDSYfLVGw4K1O/hpylu42NswZNaPdG/dlAZ1nIttlv35HwO6+vHSM605ffkG327ay4L3XgdgZL+u5OYXsvlgkME0PwwDX+zDkFdfYtq8pcaWUhZRxHvhKC4Omkd+vJJW/y0kdW8wd8L0fV9Rw4I6o14gMySseJ3jgE4IZqaE9JiIaGlG2yNfk7T1OPm3k0t/SyXqF2ix8C1ODVpAbnwqz/z3BQl7Q8gOi9UzU9SwoP6o50kLCS+zC5/Ph5N04LyhFOsjirjMep+Yt6dRmJhCvb++JfvAaQpuROuZZe0+fM9AxPGj4eQGXTSE2rKIAo0Xvc25QV+QH5dKuz0LSdkTTE4559999Atk6Jz/xL+Pkfj3MQBqNPXAd+2k/9eBClSvnhWjvcJDkqRUSZL8JEnyA34Evr67LElSAfAmcAwYrLNNMHAE+LRo1ffA9CceqABmzZqgiolFHRcPKhW5gQewfLbzg20sSQjmZmBqgmBqimBiglqZ9qQl3hd3P2+UtxJJu52EulDNhR0nadpXP2+/bgPMzMocJG2cXZibz63g6xTmG+89C6KHN5rUBKS0RFCrUIUew6Rpu3vam/h2RRWqvdBIKfFIqfHav7PSkHIyEGrYVqretm19ibxxi6io2xQWFrJ58w769e+jZ9OvXx/W//E3AP/8s5vu3bX+lJubh1qtBsDC3Pzuz0DNmtZ06dqetWs2AlBYWEhGRlalHgeAwqsxmqQ4pOR4UKsoPHMI01Zd9GzMnn2R/APb4E42AFJWepn9mLR9FtXFICjIr3TNutT18yblVgKpRb5/bscJmvdtq2cTcfIKhXkFANw6F46dq/Z9QC4N63Dj9FU0ag0FufnEXo2maTdfg+qv4deQ/Kh4CqITkQpVKLcdw65vhwfePuv4BTQ5BgyuSmHp24iCW3EU3k6AQhUZ/x6hZu+OD7ZxoQqpQAWAaGaKIBo+t+alGzF4uDjg7myPqYkJz3dswaGQq3o2N+KS6eDTAID2zbw4FHKtuKyDTwNqWFbddzO19WuBrU1NY8sol5qtvMm9mUBedBJSoYrkrcdxeK5tGbt6UwZz+4dtaHTvUZKEwsocFCKihRmaAhXqLMPWg1qtvMm5mcCd6CSkQjVxW0/iWo7+JlMGEfHDDtSl7rGuz7clJzqJrOsxZbYxBBYtG1EYHUdhjLbuZu06jHWvB6y7gLmPNwqHWuQcP1uJKu+NTWtvcm8mkndLe/4Tt57A8fmy7Qavz97g1vfb0RTdA0rj+koXEv45XtlyjY5GeLSPMaiS7xsUBMEa6AKMQidYKWIaMFoQhMmAqSRJAaW3fxIonB1RJyYVL6uTUlA4OZWxs+zxDM5//IL9wtkonLXlBZeukB9ynto7N+O26y/yTgWhioous21lYuNSi4y41OLlzHglti5lX9DYYXgfJhz+muc+G8K/c9YZUuJ9EWzskTJSipelTCWCrUP5tnZOCLVcUN+4VKZMdPdGUJggKRMqTStA7dquxMTGFy/HxiZQu7ZrKRuXYhu1Wk1GZhYODrUAaNvOj6DgPZwO+o+PPpqOWq3Gs74HKSlKfvzpS46f/JcVPyzCysqyUo8DQKjliKQs8X2NMhmhlv65F13dUbi4U2PaN9SY8R0mzcveEMw6dKfw9IFK11saOxd70nV8P+Mevn+XDoN6cPWQ9klm3NVomnb3w9TCjBq1atKwUzPs3Mr3u8rCzM2egvgS3y9ISMXMrax+uxc60SzwG7x+moypm6MhJd4XExcHCnX0qxJSMHUpew5rPt8Fr50rcF8xFRMd/SZujnjtXEHDY2tI+WmzQXtVAJLSMnG1L3m44WxvQ2Ka/vOwxnVd2Rd0GYD9wVfIycsnPat6v4ivKmDuZk++Tt3Nj1diVqr+1WjuiXltB5SB+g3ilH9Pob6TT8cLv9AhZCUxK3egSs82iO67WLjVIldHf158KhZutfRsbJp7YlnbnqRA/eG8CitzGnwwgLClfxtEa3mYuDhSGF/SE6VKSMGkvLrbpyue236g9rfTMXEtqruCgPOUd0j+cpWh5JbBwtWePF3/iUvF3FX//Fs398SitgOpgfcOqJxf7kTiP4YdumwMNEiP9DEGVTJYAQYC/0mSFAYoBUFofbdAkqR0YDGwEBhXeRLKCR8l/R8p7+hJ4gcOIWnYO+SfOUut2Z8BoHCvjYlnXeIHDCK+/yDM27bCzK9l5UktB0Eoq1+SyjrZ6d8DWdbtE/YsCqD7+IGGkPaAVHz+72LSsguqSydB0u/UFGraYTHoQ/I2r7jntk+KBznf97MJDjpPu7bP0e2Zl5n46TjMzc0wMTHBz8+HVavW06VTf+7k3GHip2PL7OPJU965L7UsKhBd6pCzeCJ3fvwCy7cmgGWNkj3Y2iO610d1KbhypZZHeU9+7vH7txnYFY+WXhz4WTuf6/rRC1w5eI6Ptsxl+PLxRJ0NR6M2dGd5eX6iv5weGMTFTmO40udjso6GUv+bDw2k7QEox89Lk73/NBHd3iKy3wfkHD9PnS8nFJep4lOI7PcBET3fwe5/vVA42FWm2jKU5yql6+6EN58n+FoUg2Z8T8i1KJxr2aBQVNXbaTWiororCDSYO5LIz8s+WKvZyhvUGk77juFM+/dxf28AFnWdy9hVKuX5vqRf7jN3OJc//6OMWeNJrxH5827UdwzbE10hpepD9sHTRPYaSdTL48g5cQ7XRRMBsBvSn5zDQagSUsruw1BUdO0RBBrNHUH4nN/vaWLT2htNbgE5127f0+b/C9IjfoxBVb26vgncndG7oWhZlxeARKDZvXYgCMIYQRCCBUEIXp8U99AC1EnJKFxKLnQKZ0fUKfqVUJOZCYXabtycbTsxa9IQAMvuz1Bw6QpSbh5Sbh55J89g1rzpQ2t4HDISlNjWLnkiYuNmT2bSvYeiXdxxkmZ9ynZXGwspMxXBtuRpq2Bjj5RZ/hNWE98uxUPAijG3xMJ/Ovl7A9DcLjsu+EkTGxuPex234uU6dVyJj08sZZNQbKNQKLC1qYlSqT986vr1G9zJuUMzn8bExsYTG5tAcJD2qf/Wf3bj6+dTyUcCUloygn2J74v2TkjpqXo2mrRkCs+dALUaKSUBTcJtFK7uxeWm7buhCjkORcPbDEl6ghI7Hd+3dbMnoxzfb9SlOX0+eIXVo79EXTT0CGDf91tZ+uJn/Dh8AQgCyTfjy2xbmRTEp2Km09Ng5upQPJH+Lur0rOLhUsl/BmLVooFBNd4PVUKKXk+PiasjhYn6/qOrP23jHiyae5fdT5KS/PBorNpVvs/r4mJvQ4Iyo3g5SZmJs53+sCnnWjZ8/dEQNs1/n/Gv9wagpiHmk/0/Jz9OiblO3TV3s6dAx/cV1pbUaOyB75Y5tA/6HpvWDfFZOwVrXy+c/9cV5cHzSCo1hSmZZAZdw9rPsPUiL06JpY5+CzcH8hJKrj0m1hbYNPag85ZZ9ApaTq3W3rRf+ym2vl7YtfKm2cwh9Apajtc7L9Dww4F4vm3YeWeqxBRM3UpGkJi4OqJKKnXtT89CKmr3ZPz1HxY+Re0ev6bYDR2A1/41OE0ejc3LvXGc8JbhxFPUk6XrP7UdyNc5/wprC2o08aD1lll0DvoOmzYN8V03iZq+XsU2LgM7PxVDwEA7Z+VRPsagygUrRRPvewKrBEGIAiYBbwhFj7YEQegP2ALPAV8KgmBV3n4kSfpZkqS2kiS1Hepc+6F1FFy9holHHRRurmBigmWfnuQe0c8KJDqUDM2weKYzhUVDvdQJiZi38gWFCAoF5q18DT4MLDb0Bg6ertRyd0JhqqDlgE5cC9Sf6OzgWTJMqXHPVqRGVe5QqYdBExOB6OiGUMsZFCaY+HZFfbXsU3rBsTaCpTWa6OslKxUmWAybjOrcIdSXDJPJKSTkAg28PalXzx1TU1Nee20Au3bu07PZtZLutCYAACAASURBVGsfQ4e9CsArr7zA4cNabfXquaNQKADw8KhDw0ZeRN+KISkxhdiYeBo21F5Iu/fozLWrEVQ26pvXUTjXQXB0BYUJpu27awMTHVRnT2DS1A8AwdoG0dUdTVJJo960Q08KjDAEDOB26A2cPF2xL/L9VgM6c7mU79fx8eT1Be+wavSXZKeWDPERRAErO2sA3JrUpXaTulw/esGg+nNCw7Go74aZhzOCqQn2L3clPfCMno2pc8nQBru+7ciLMM4Y9/LIvRCGmWcdTN1dwNQE2/7Pkr3/tJ6NiVOJ/pq9O5BfNPnexNVBO98PEG2ssWzTjIJIwx6bj1cdohNSiUlSUqhS8d+pi3Rr3UTPJi0rB41Ge9teveMIA7u1Lm9XMg9J1vkILL3csKir9X2ngV1I3Vty3Vdn3eGkzyjOtHufM+3eJ/NsOJf9F5MdGklebAp2XbXZIUUrc2q2aURueOy9vqpSSD9/gxperljWdUIwVVB7YCcS9pZce1RZuezxGcP+dh+yv92HpJ2N4Iz/UjJCIzkx8PPi9ZG/7CZ8+Vaift1rUP15F8MwrVcb0zraulvzxW5kHzilZ6PQqbvWPTtScENbd+MnLSGypz+RvUaSvGQVmdv2kbLsN0PKJ+vcDay8XLEoOv8uAzuTskfXf3I52uwdTrQbz4l248kMCSd0xJdk3c3GJgg4D+hI4tb//0PAoHoNA6uKqYtfA9ZJkvTu3RWCIBwGugqCEAx8BbwiSdIVQRC2AdOLPk8WtYb0pd/huHwxgqggZ8duVDejsBkzkoKrYeQdPYH1G//D8pnOSGo1msxM0uYuBiD3wBHM27bCZf1qQCLvZBB5xwyb/lSj1rBj1hpGrvsMQSFydtMhksJj6fXJa8RejOTavrN09O9Lgy7N0ahU5GbksHliSXaPT499i7m1JQpTE5r2bcNvwxfpZRKr/APQkL99FZZvzwRBpDD4AJqk25j1How6NqI4cDH17YoqVP8piEmLzijqN0OwqolJ6x4A5G9egSY+qtLkqtVqJk6Yzdbt61AoRH5f9xdXr4YzY+YnnD17kV0797F2zUZWrf6a0IsHSUvLYOSI8QB06tyOiRPfo1ClQqPR8MnHM0lN1T4NmjhxNqt/+xozUzNuRkUz9t1JlXYMxWg05K7/jhoTF2lTFx/9D03cLcwH+qOOCkN1/iSqS0GYNG+D9fzVIGnI2/gzUo620S84uCDaO6G+bthGfrF8tYa/Z/3Gu+umISpETm86SEJ4DM9/8jq3L0ZyeV8IL00dirmVOSN/+BiAtNgUVr+zFIWpCeP/mgNAXnYuf3yywvDDwNQaomf+QqP1s0FUkLpxH3lht6n96ZvkhEaQERiE89v9sOvTHkmtRpWeTdQnJRkJG/+9AAvvOihqWNAyaBVRn64g87ABswupNSR8vpK6a+YhiCLpmwPJD4/G6eNh5F4MJ3v/aez9X8K6VwdQq1FnZBM3+WsAzBt44DJttHbojyCQumoL+WGGzchjolAwdUR/xn65Fo1Gw8Bn2+Dt7sL3f+/Dp34durduSvDVmyzfFAgCtGnsyTT/kpSnI+f9QlR8MnfyCujz4RLmjH6FLi0bGvQY7sek2YsIOneB9PRMeg0cxrhRw3l1wHPGlqVFrSFi2mqaB0zXpi4OOMid6zHUm/wGWedvoNx772Glcb/uofG342hzeBkIAokbDpJz1bAPCSW1hkvT1tAxYCqCQuR2wCGyr8fQePJrpJ+/SeJew2ZGfGjUGpLmrcR99XwQFWT8vZeCiGgcxg8n71IYOQdPU2v4y1j36Kht92RkkTD1K2OrLkZSa7g+9VdabZgGCpH4gEPkXI/Ba/LrZIZGkrLn/uffrlNT8uOV5N1Kuq+djOERypvHYHARgjAHyJYkaakgCIeARZIk/adT/iHQFEgDFJIkTSlaXxM4DzwvSdI9x/rEdOhp/IN8DFYmulZsVEWZ+mYVG3/7CLh+a5zMJo9L7BtVZ2jQozLnYNWZOP6wDFXlGVvCY2FlbrxsgE8Cr4CRxpbwWCi82lRsVIU52XyKsSU8MhlV8jnug9PIrmx2xupGTJqNsSU8Mr0SNxopZ9bDMdnzzUdqGy+JCjD48VWJGilJ0hydv7uXU7689Lqi9VlA9W+RycjIyMjIyMjIyBiI6vSelSoRrMjIyMjIyMjIyMjIGAZjzT95FORgRUZGRkZGRkZGRuYpovqEKnKwIiMjIyMjIyMjI/NUIQ8Dk5GRkZGRkZGRkZGpkkjVqG9FDlZkZGRkZGRkZGRkniLknhWZJ0oddZV7d+dTRQMbt4qNZCoFF0m+RMnIVEc6XVpsbAmPxQutxhpbwiPzfdV73/dDkZVtjq1p9X/tQVVHnmBfxVie6GJsCY+Mp1phbAmPxV/rLI0t4bH4Rh1pbAmPzLD9FsaW8Fh0EeyMLeGxWG1iZmwJj0WWqno3eMa+tNHYEh4LNZuMLeGRqe6BSnXnYI6DsSU8Fm3JNraEp4LqE6o8JcGKjIyMjIyMjIyMjIwWuWdFRkZGRkZGRkZGRqZKIs9ZkZGRkZGRkZGRkZGpksjZwGRkZGRkZGRkZGRkqiRyz8r/Qxp18+XlWSMQFCJnNh7k0MrteuUdh/am0/A+SBoN+Tl5/D11FUkRsUZSq8Wje0u6zhmOqBC5EnCIcz/s0Cv3GdaT5v59kNQaCnPyOPTZatLC4xBNFHRfMhqnFp6ICpHrfx/j7Pc77vEthqFO95Z0mDscQRQJCzjExXvoqdevHT1//ojtL8wk9cJNA6vUp3OPDkyZ9zGiQsE/63fw64rf9cpbd/Rj8tyPaNisAVPem82+fw8C4ObuyrLVCxAVIqamJgSs3sxf67YaVHvrbq15Z84YRIVI4Ia9bP5hs175y6MH0vfNvqhVajKVmXz76TckxyYDMGfd5zRu1ZirwVeY+9Zcg+q+S/1uLek9W+v7oRsOcWqlvr/4De1J6xFa3y+4k8d/U1eTGh6Hrbsjo/cvQXkjHoC4cxHsmf6bwfU36+bLoFlvIShEjm/cz96V2/TKe43qR5fBvVCr1GQrM/l98kqUsSk06uTDazP9i+1cG9Rm9fhvCd0bZFD9Lbu1YvjstxEVIoc27GPHyn/0yl8YPYDug3ujVqnJUmby86TvSS3yHwBLa0sW719O8J7TrJu1yqDaAex6+OE17y1QiCSu30/sivLrn0P/jjRZ9Smhz00hO/QGgqkJDb4cg7VvA9BIRM78jcwTlw2sHmr18KPBPK3/JKzfz+176Hfs35FmqyZy9rkpZIdGIpgoaLTsPaxbeCEoRBL/Oszt7wx77amIGQuWceT4Gexr2bH1jx+NLacM7bq3Zdyc9xAVCnYH7GbDD/qJElp0aM642e/h1dSL+e8v4OiuY8Vl70wbRYeeHRBEgbNHz/L97JWGlo9H95Z0mTMcQSFyNeAQ50u1G5oN64mPTrvhiE67oduS0TgWtRvC/j7GOSO0G2y6t6Lu56NBIZISEEjC91v0yh1e74n7DH8KE5QAJK3ZSUrAPgAa/jGLGq0akx10hYiRXxhcu6H5f9WzIgiCGrhYZHsV+BjYWVTsCqiBu3eZ9kCujv1NYLgkSek6+/sEWAi4SJKUIQjCc8Dd1CHeQGzRPi4AvwKfSpLUv2jbgcBcwAwoBGZKklTpV1JBFHhl7lv8MmwBGQmpjN/+BVcCQ/SCkXPbjnNqvdbhm/Vuw4CZw1ntv6iypd0TQRR4dr4/O4YsIjteyWv/ziUqMIS08Lhim7CtJ7n8xwEAPPu0psusYfw7fAkN+rdHYW7Cxj5TMbEwY/CBxYRvO0lWTIrRjqXjF/7seXMRd+KVDNg1l+i9IWToHAuASQ0Lmr39HElnI4yiUxdRFJm28FPeHfQRifFJ/Pnfag7tPUpkWFSxTUJsAjM/mo//uCF62yYnpjBiwLsUFhRiaWXJ34f/4NCeYyQnGub8i6LIe/PHMnPoDFLjU1m242tOB57mdvjtYpvIyzeY0O8T8vPyeWHYC7w17S2WvL8EgC0/bcHc0pwXhj5vEL2lEUSBvvP82TB0EVkJSkZun0v4vhBSdfzlyraTnF+v9X3v3q3pNWMYm/y1+tNvJfLbi9ONoh20+gfPHcXyYfNJS0jls+0LuRAYTILO9eb2lSgWDviMwrwCnh3Wh1emDmP1B98QdvIyC16cDICVbQ3mHv6OK0dCDaxfxH/eOywa+jnKhFTmbl9CyL4g4sJjim2iLt9kZv9JFOQV0GvYc7w5dQQrPviquPy1iW9y7bThG/kAiCJeC0dzedBcCuKV+P63COXeYHLDYvTMFDUscBv1IlkhYcXrXIb1BuB8j4mYOtrQbP10Qp//DCQDNgpEEe+Fo7g4aB758Upa/beQ1L3B3ClHf51RL5Cpo99xQCcEM1NCekxEtDSj7ZGvSdp6nPzbyaW/xWgMfLEPQ159iWnzlhpbShlEUWT8/PeZMmQqyfEpfP/vd5wIPEV0eHSxTVJsMksmfMWgd1/T27ZZm2b4tPVhTN/3APhmy1f4dmxJ6KkLBtMviAJd5/vz75BF5MQr+d+/c7lVqt0QvvUkV4raDfX6tKbTrGHsGr4Er6J2w19F7YY3DiwmwtDtBlGk7vx3CRsym8L4VJru/JL0vWfIC9f3/bQdx4ie8UuZzRNWbkW0NMdpWF9DKTYq1aln5UFyU+ZKkuQnSVJzoAB4o2jZD/gR+PrusiRJBaXslcD7pfb3JhAEvAIgSdIenf0FA0OLlkfobiQIgi+wFHhZkqQmwEvAUkEQWj7y0T8gHn7epNxKQHk7CXWhmtAdJ/Hp21bPJj87t/hvMytzJEPenMrB2a8BGVGJZEYnoylUE7H9FPX7ttGzKdTRbKKjWZLA1NIcQSGisDBDU6iiQMfW0Di2akBWVCLZRccSue0UdZ9rU8au9eTXuLjyX9R5hUZQqU/zVs24fTOG2Og4VIUq/tu6j+7PPaNnE3c7gfCrN9Bo9C8ZqkIVhQXaYzAzN0UUBIPpBmjo14j4qHgSoxNRFao4suMIHfp21LO5ePIi+XnaPPjXz13Hwc2xuOzC8VByjegvbn4NSItKJOO21l+u7DhFwz76/qLrz6ZW5lXqCZOnnzfJtxJIKbreBO84gW/fdno2YScvU5hXAEDkuXBqudqX2U/rFzty+dC5YjtD0cDPm8SoeJJvJ6IuVHFqxzHa9GmvZ3P15CUKinRFnAvD3q0k1apncy9sHO24aOAg6y41W3mTdzOB/OgkpEIVyVuPY/9cuzJ2dacMJvaHbWjyS643Vo3cyTh6EYDClExUmXew9mtgMO2g1Z97M4E8Hf0Oz7UtY1dvymBul9KPJKGwMgeFiGhhhqZAhTrLeHW5PNr6tcDWpqaxZZRLY7/GxEXFER+dgKpQxaHth+jSt5OeTWJMIjev3UQj6V/3JUnCzNwMEzMTTM1MUZiakJaSZkj5OPs1IDMqkayie+2N7afwvE+7wdTKvCQQl8BEp92gNkK7oYZfQ/Kj4imITkQqVKHcdgy7vh0eePus4xfQ5FQtf69MNJL0SB9j8LCJ9I+i7f14UE4Cde4uCILQALAGZqANWh6GT4EFkiTdBCj6fyEw6SH389DYutQiIy61eDkjPhUbl1pl7DoN78OUw9/w4mdD2D5nbWXLui81XGuRHacsXs6OV1LDtazm5v69GXrsKzpPG8yxWesAiNx5hsLcfEaGrGDE6W84/9Mu8tNzDKa9NFautcjROZY75RyLvU89arjZE7PvvKHllYuzmxMJcYnFy0nxybi4OT3w9i61nfnrwDr2hGzlt+//MFivCoCDqwMpcSVPUlPjU3BwuXfe/j5v9CXkYIghpD0QNV1rkRVf4i9Z8UpqluP7rUf05t0jX9Fj6mD2zV5XvN7Ww4m3ds1nyMbpuLdrbBDNuti52JOmc71Ji0/FzqVsMHKXLoN6cvlQWb9vO6ALQduPV4rG+1HL1QFlfIl+ZXxqucHUXbq90YvQQ2cBEASBoTNGErDAeNdPMzd7CuJK6ltBfCrmbvr6azSvj1ltR9IC9f0+53IU9s+3B4WIeV1nrFt6YV7bsO+8MHezJ1/Hf/LjlZi56Wuo0dwT89oOKAPP6q1P+fcU6jv5dLzwCx1CVhKzcgeqdPmdFw+Ko6sDSTrXzuT4FBxcHe+zRQlXz17l/MlQNgUHsCkkgODDIURH3K54wyfIg7YbfPx78+axr+g4bTDHddoNqtx8RoSsYNjpbwg1QrvBzM2egnidupuQiplb2WuP3QudaBb4DV4/TcbU7cF+Hxnj8sDBiiAIJsALaId4PYi9AugF6E7ueBMIQBv0NBYEwfnBpeIDlG4RBRetr1zKe7JdTnB58vdAFnf7mF2L/qTn+FcqXdb9EMrRXF5AfGntPtZ3ncjJhRto8+FAAJz9vJDUGta2Hc8fnSfgO+ZFbOo+eEP7SVPhsQgC7ecMI2jun4YTVQHlusxDPJFIjEvi9Z4jGNBpEC8NehF7x7I3jMriYbR3f6U73i292fLT35Ws6mF4sPp6dt0+fnp2IocWbaDzeK3vZyel80Onj/ntxRnsn7eel5aPw8zasC82Ld/fyz//7Qc+Q72WXgT+rD+HzsbJjtqN6xp8CBiUe/bv+faxLq88i1cLb3b+pB3N23vE85w/eFYv2DE4FZ1/QaD+3JFEfV42oEoMOEBBXCq+exZTf+5bZAZfR1IZeLBFeT9AKf0N5o4k8vN1ZcxqtvIGtYbTvmM40/593N8bgEXdh7lNP92UV3cfdAhgbc/a1PP2YHD7obzRbgitOvvSokPzJ6ywAh6w3XB57T4Cuk7k1MINtC7Vbvi97XjWF7Ubahq83VCx/vTAIC52GsOVPh+TdTSU+t98aCBtVQ/pET/G4EGCFUtBEM6jDQyigdUPaJ8K2AOBOmWDgQ2SJGmALcDrD6FVoOx5Km+dtkAQxgiCECwIQnBo1uPNYchIUGKr83TM1s2BzKR7d8+G7jiJT5+y3e6GJDteiXXtkicK1m723Em8t+bwbaeoXzS0quHAzkQfuoBGpSY3NZOE4DCcWnpVuuZ7kROvpIbOsViVOhZTawtqNXHn+c3Tee3U1zi1bkDv3ybg0LK+MeQCkBiXjGttl+JlZzcnkhIevnckOTGFG9dv0rqj35OUd19S4lNxrF1yk3Fwc0SZpCxj59vVl0EfvMH8UfNQFagMpq8ishKU1NR5mlbTzZ6s+/j+le2naFg01EFdoCKv6Ely4qUo0m8lYV/ftXIFlyItIZVaOtebWm4OZJRzvWnSpQXPf/AKK0cvKXP+2/TvxPk9Z9Co1JWutzTKhFS9YV32bg6kJZb1H58uLXnpg9dYNnphsX7v1o3p4/8CXx/7kSHT/Xnmf915Y8owg2kHKIhLxax2ydNWMzcHChJKzr/C2hKrxh403/I5bYJ+oGbrhjRdO0U7qV6t4ebsNYT2nsS1kYsxsalB7s14g+rPj1Pq9eaYu9lTkFBy/hXWltRo7IHvljm0D/oem9YN8Vk7BWtfL5z/1xXlwfNIKjWFKZlkBl0z+DC26kxyfArOOtdOJzdHUhMfLPDu+lxnrpy7Rt6dPPLu5HHmYDBNWzWtLKnlkvOQ7YaIbafwLGo3eOu0G/KK2g3OBm43FMSnYqbTU2Lm6lA8kf4u6vQspKLrTfKfgVi1eHr9W4P0SB9j8DBzVvwkSRpfNC+lQnugHtqJ8O8DFM0taQgECoIQhTZweZihYJeB0hFAa+BKecaSJP0sSVJbSZLa+tZ8mJFrZYkJvYGjpyu13J1QmCrwHdCJK6W6/x09Sxo0TXq2IjUq4bG+83FJCo3E1tOVmh5OiKYKvF/qyM1SXf62niWN6Xq9/Mgo0pwdm0qdLtoOKxNLc1xaeZMeoT+Z3ZCknI/Epr4r1kXH4vVyR27vLTmWwqxcAlqMZXPHT9jc8ROSz95g31vLjJoN7PL5q9T1cqdOXTdMTE14fmBvDu89VvGGaAMbcwszAGra1sSvXQuiIm5Vplw9wkPDqF2/Ni4eLpiYmvDsgGc5E3haz8bLx4v3F37AvFHzyEjNMJi2ByE+NBL7+q7YFvlLswEdiSjl+7V0fN+7px9pRb5vaV8TQdQ+nbP1cKJWfRfSo5MMJx64FXoDZ083HIquN20HdOZCYLCejbuPJ0MWvMPK0UvISs0ss492L3UheIfhh4ABRIZG4FrfDScPZxSmJnQc0JWzgfrZyOr51Ofthe+xbNRCMnX8Z+VH3/Bx53f5pOt7/PnFWo5uOcTGxX8YVH/W+Qgsvdwwr+uMYGqC08AuKHWyqamz7nDG521C2o0jpN04ss6Gc9V/MdmhNxAtzRCtzAGwfbYlkkpdZmK+ofRb6OhP3VviP+qsO5z0GcWZdu9zpt37ZJ4N57L/YrJDI8mLTcGuq/ZpvmhlTs02jcgNN25Wy+rE9dDr1PGsg2vRtbP7S905EXjqgbZNikvGt0NLRIWIwkRBy44tiI6IrnjDJ0jpdkODlzoS9YjtBudW3qQZuN2QExqORX03zDy0vm//clfSA8/o2Zg6l4xSsOvbjrwIw9bPqoT0iP+MQaWlLi7K9PUhsE0QhJVoA5M5kiQtvGsjCMJNQRDqSZL0IC2xpcBfgiAckCQpShAET2Aa8Np9t3oCaNQats1aw+h1UxEVIkGbDpEYHkPfT14j5uJNruwLobN/X7y7tECjUpGbkcPGiYZPOaiLpNZwdOZaBvwxGUEhcm3jYdLCYmk38VWSL9wkKvAsLUb2xb2rDxqVmvyMHPZ/8hMAF9cG0vOrMQzetwgEgWubjpB6zbBjZ0sfy6kZa+n752QEUSR842HSw2Jp9emrpITe5Hapi2lVQK1Ws3DaMlYGfI2oULA14F9uXL/JuMmjuXz+Gof3HsPHrylf/7oQG7uadOvTlXGTRvG/bsPwaujJxDnjkSQJQRBYuzKAiGuRBtOuUWv4ceaPfP77XESFyL6NgUSHRTN0wlDCL4ZzJvAMb01/GwsrCz5b+RkAyXHJzB81D4BFmxfj3sAdixoW/HZ6DcsnLefcEcP9RpJaw95Za3ljndb3L2w6TEp4LM9MeJX4CzeJ2HeWNv59qdfVB02hmrzMHHZO0Pp+3Q5N6DrhVSSVGo1GYs+038jLMOy4a41aw4ZZvzJ+3XREhciJTQeJD4+h/yeDiL54gwv7Qnh16jDMrSx454cJAKTFprDyHW02M3t3J2q5ORJ+qtznOAbRv3bWKiavm4WoEDm8aT+x4bd5dcJgbl64wdl9Qbw5bQQWVhZ8+MOnAKTGpbBs9MIK9mwg1Boip63CJ2AGKESSAg6Qez2GupPfIPv8DZR7g++5qamjLT4BM5A0EgUJSsLHLzeg8CLUGiKmraZ5wHRt6uKAg9y5HkO9yW+QVYH+uF/30PjbcbQ5vAwEgcQNB8m5atgGc0VMmr2IoHMXSE/PpNfAYYwbNZxXBzxnbFmA1ve/m/k9i/7Qpp7/b+NeboXdwn/iCMIuhHEy8BSNfRsx55dZWNvWpFPvjvhPGMHo3mM4svMofp19+SXwJ5Akgg4Hc2rf6Yq/9AkiqTUcm7mWfkXthutF7Ya2Re2GW4FnaT6yL3V02g0Hi9oNl9YG0uOrMQwqajdc33QEpaHbDWoN0TN/odH62SAqSN24j7yw29T+9E1yQiPICAzC+e1+2PVpj6RWo0rPJuqTkjra+O8FWHjXQVHDgpZBq4j6dAWZh6vGPNjKoDplAxMqGkcvCEK2JEnW9yibA2RLkrT0XvaCIOwANqFNOfyCJEnXdMqWAYmSJC0uWj6ENlVxcNFyd/RTF/8P+BwwRZu6eLYkSfpJtMthsuebVSfVz0PiqVYYW8JjYVmdakM5fKM2XJDwpKlrdu9JzdWBLoKdsSU8FrcEw2bhetJkSVVnaN+jMDb/YfPHVC3U5c/+qRZ0urS4YqMqzgutxhpbwiPzGsabY/okaCtV76QObWO2VovK+3q9lx+pbfzXrW0GP74Ke1buFagUlc2pyF6SpAFFf/5eju2EUsvdSy0fAg7pLG9BO9dFRkZGRkZGRkZGRuYRqEop+ytCfoO9jIyMjIyMjIyMzFNEdRr4Ur37yWVkZGRkZGRkZGRkHgpJkh7pUxGCIDwvCMJ1QRAiBEH4rJzyCYIgXBEE4YIgCPsFQahX0T7lYEVGRkZGRkZGRkbmKaIyUhcXvWPxe7TvZWwGvCkIQrNSZueAtpIktQQ2A0sq0ioHKzIyMjIyMjIyMjJPEZpH/FRAeyBCkqTIoledbABe1jWQJOmgJEl3ihZPAe4V7VQOVmRkZGRkZGRkZGSeIirpPSt1AN2c1TFF6+7FKGB3RTt9KibYN1BV3/S/G0g0toTHor/CpWKjKkx0hmFfCPgkGVvLsG8PftKsLKi+aaMBOltU+LCoSuMkmBlbwmOhrMapf2WMz+5zxn1X2uPyQ+tZxpbw6FSfJFXVmkd9G70gCGOAMTqrfpYk6ee7xeVsUu4XCYIwDO3L3rtV9J1PRbAiIyMjIyMjYxiq8ztKoPoHKtWd3YoaxpbwWLQ1toAH5EEmy99ju5+Bn+9RHAN46Cy7A3GljQRB6A1MB7pJkpRf0XfKwYqMjIyMjIyMjIzMU0QlpS4OAhoKglAfiAUGA0N0DQRBaAX8BDwvSdIDDV+RgxUZGRkZGRkZGRmZp4jKeCmkJEkqQRA+APYACuBXSZIuC4IwFwiWJGk78CVgDfwlCAJAtCRJL91vv3KwIiMjIyMjIyMjI/MU8ahzVipCkqRdwK5S62bp/N37YfcpZwOTkZGRkZGRkZGRkamSyD0r98Gje0s6fz4cQSFyLeAQ57/foVfedFhPfEb2QVJrKMzJ48iU1aSHxyGaKnh20SgcfeuDRsPx2X8Qf/KqwfW3696WDz4fh0IhsjNgNwHfb9Qrb9mhBe/PGUuDpl7Mff8Ljuw8Wlz27vTRdOzZAUEUCTkawnezfjC0fDy7taTHHO35v7ThychARQAAIABJREFUEGd+0D//LYf1xG9E0fm/k8fez1ajDNfO43Js4kGfhW9jVtMSSSOxfsAs1PmFlaq3V+9nWbhkBgqFgt/XbuKbZT/plZuZmbHyly/x82uOUpnG2/4fcTs6trjc3d2Nk8H/sXjBclYsXw3Au+P88R/5BggC637byI8/rKnUY7iLR/eWdCk691cDDnG+1LlvNqwnPv46vv/ZatLC4xBNFHRbMhrHFp6ICpGwv49xrlS9MQSde3RgyryPERUK/lm/g19X/K5X3rqjH5PnfkTDZg2Y8t5s9v17EAA3d1eWrV6AqBAxNTUhYPVm/lq31eD6m3XzZdCstxAUIsc37mfvym165b1G9aPL4F6oVWqylZn8PnklytgUGnXy4bWZ/sV2rg1qs3r8t4TuDTKo/ibdfHlllj+CQuT0xgPsX7ldr7zbqBfpOLgnGpWabGUWGyb/SFpsCgD9PxtCsx6tANj73RbO/3vSoNoBnHr40nzeCASFSPT6g0Ss2F6unVv/9rRd9QlHnptORmhJ9jrLOg50P7KU60s3E7lyp6FkF1Od9bfr3pZxc95DVCjYHbCbDT9s0itv0aE542a/h1dTL+a/v4Cju44Vl70zbRQdenZAEAXOHj3L97Or3kT5GQuWceT4Gexr2bH1jx+NLacM9bq1pFvRtf/yhkMEl7r2txjWk5Y69939RffdxgM70+bdfsV2jk09+PPFGaRciTao/gbdWvLcbK3+cxsOcWKlvv7WQ3vRbkQfNGoNBXfy2Dl1NSnhsdT29aLfwtEACAIc/mYL1/cEG1S7oXnUCfbGoNoFK4IgqIGLaNOjqYEPJEk68cS/RxToMt+fnUMWkROv5H875xK1N4T08JKkBhFbT3L1jwMA1OvTms6zh7Fr2BKaDukBwObeU7FwsOHF3yexpd8sMKBjiKLIR/PHM2nIFJLjU/hx5wpO7D3JrfCSC0dibBKLJ3zJG+++rretT5tmNG/bnFF93gVg+T9f49upJaEnLxhMvyAK9Jrvz+ahi8iKVzJ0x1wiAkOKgxGAa1tPcqHo/Dfo05ruM4exZcQSBIXIi9+OZffHP5J8NRoLO2s0hapK1SuKIl8um8MrL/kTF5vAgSNb2L1rP9evRRTbDPd/nYz0DNr49uJ/r/VjzrzJjPL/qLj8i8XT2Rd4pHi5abOG+I98g17d/kdBQSGbt/7K3j0Hibxxq1KPRRAFus7359+7vv/vXG4FhpCmc+7Dt57kio7vd5o1jF3Dl+DVvz0KcxP+6jMVEwsz3jiwmIhtJ8mKSalUzbqIosi0hZ/y7qCPSIxP4s//VnNo71Eiw6KKbRJiE5j50Xz8x+nN+yM5MYURA96lsKAQSytL/j78B4f2HOP/2Dvv+CiK/o+/5y6VBFJIIKEGQi8hYJBQVECadH9YQPoj4mPBgqKigggKiL0AdgVBsFOkF0F6CwRpCSUhQAqppJB6N78/dpPcpVOylzzuO6975XZ2Zu+zs9+Z2enxcdrpFwbByNmP8smYt0iOTeSVNfM4vuUwsecKK7aXTkUyb8gr5GblcPeYvtw/fQzfPP0R4ftOMnfgSwDUcHNh9s5POfV3qGba8/WPmP0fPh/zNimxiTy/Zi4nthwhzkL/lVORfDDkVXKzcug2pi9Dpo9m6dMf06ZXRxq09eO9gS9j52DP0z/N5PSOY2SnZ2p3AwZB+3kT2f/QXDJjErlr49vEbj5CevgVK29GFyeaPDqA5CNni12i7Ztjubr9mFaKranG+g0GA1PeeoqXH5lOfEwCC//8lL1b9hNlUW5dvRLPgqnv89DjD1iFbXNHG9oGtWVyv/8C8NHv79MhOIDQ/dqVWxVh+MC+PDJiKK/Oec/WUoohDIKeb43nj9HzSY9JYuTa2VwoUu6GrdrHP2re36RvJ+6aMYbV4xYQtmovYauUV7HaLRsw5JupmldUhEEwYM4Elo+eR2psEpPWzCF8awgJZwtt/8TqvYQs3wZAiz6d6Pv6aFaMX8DVsMt8PeR1pMmMax13Jm+YS/jWEKSpkqahVwEqaxhYZVAdh4FlSikDpZQdgOnAvMr4kTqB/qRGxpEWFY8518S51fvx63eHlZ9ciwLUroZjQS3Vo3l9ruw5CUBWYio5qdfx7tCkMmSWSqvAlkRHRhMTFUtebh7bV++ge79uVn7iLsdx4XQEZrO1wUopcXC0x87BDnsHe+zs7EiOT9FSPj6B/qRExnFNjf+wtftpViT+cyzi397ZsaAy6Hd3e+JPXyL+tJJRZqWkI82VmyjvCOrAhQsXuRh5idzcXH7/dR0DB1kPy7xvUB9WLP8DgNV/bOSenl0Lzg0c3IeLEZc4c7rwxaFFy2YcOniMzMwsTCYTe3YfZPCQfpV6H1Dc9s+vKdv27WsUxj0S7JwdEUYDRicHTLl5Vs9JC9p1bMOliMtciYomLzePjau20rP/XVZ+oi/Fcvb0ecxm64IoLzeP3BylB87B0R6D0H6vDr/AZsRfjCXh0lVMuSYOr91Lh36drfyE7ztJblYOABeOnsXDx7PYdToNDObkjqMF/rSiUWAzEi7GkqjqP7p2L+36WS/meW7fqQJdF4+exV3VX7d5fc4fOK20emZmc+V0FK3v6aCpfo+OzciIiOV61FVkronoVfvw6V98MdJWLz/EuUVri/XY+gwIIiPqKmlhl7WSbEV11t+ySLm1Y80OuvfrauUn7nIcEWciMEvrtKuUWw4F5ZbR3o7khGQt5VeIoMD2uNWqaWsZJVI30J9rkXGkqnl/+Nr9NK1guWtJy2HdCFutfY9ovUB/kiPjSLmk6D+5dj8t+5ahv4Zjwfe8rJyCiomdo72Wbcs2o5I2hawUqmNlxZJaQKXkRjV8PUiPSSo4zohNwsXXo5i/tuP7MHL3+wS/NpI9M5cCkHg6isb9OiGMBmo29MarvR+u9WpXhsxS8fL14mpMfMFxfGwCXr5eFQp7KuQ0R/eG8tuRn/g15CcO7TxM1DltW0hcfTxIiy6M/7SYJFzrFo//wHF9eHTX+9z96ki2v6HEv0dTH0Ay4oeXGLPuLTr/d1CxcLcb33p1uXI5puA4+kosvvWsN8SsZ+HHZDKRei0dz9oe1KjhzLPPP8478z618n/6VDjdunfGw9MdZ2cn+vbrSf0GvpV+Ly4+HqRbxH16TBIuPiXb/qjd7xP8aqHtX1h3kLzMbMYd+YwxBz4i9Iv1ZKdkVLpmS+r4ehMbXbiZ6tWYeOr6elc4fN16dfhl+1I2HVnFdwuXadqrAuBe15Pk6MSC4+SYRNzrFq+M5NP9od6c3FG8FTxoSHcOrdlTKRrLwr2uJykW+q/FJOFWhv4uD/XitKo/+nQUrXsGYu/kgItHTZp3bYO7r7Z5p5OvB5kW+rNiEnEqkvfXaueHcz1Prm45auVurOGI/9NDCH/vN020lkR11u/lU5ur0RblVkwCtX0qVm6dDjnNsX2h/Hx4BT8fWcHhnUeIOnep/IA6BRQtd9NLKXcDxvVh/K736fHqSHaq5a4lzYd0IdwGlZVaPp6kxhTafmpMEjVLKLuCxvXlqb8/4N7po9j0xpIC93qB/vx3yzs8vmk+61/79n+6VwXALOVNfWxBdaysOAshjgkhzgBfA3Mq40dESZtwlvCMTi7ZysoeL3Bg7ko6PTMcgDMrdyrDZ9bPodusMcQdOYs5z1QZMkulJP0VHZ9Yz68ejZs34sHOo3gwaCQduwcS0KX97ZZYJqKkFu0S5B9bupVv7nqBv+etJFiNf4PRSP2gFqx/ZhErR8ymWf8gGnVvq7neYvFdip9XXnuWxQu/IyPjutW58LDzfPzhl/yxZgm/rvqWkydOk6eFHZWos7i3k0u2sqLHC+yfV2j7dQKbIk1mfgiawvJuU+kweSA1G1W8onA7KNF0biCDjYu+yoO9xzGk60MMfWggnl7FC7vKpEK2pHLn8LtoHNCULV9az0mo5e1OvZaNNB8CBpSyf3HJ+u8Y3oOGAU3Z/qUyrjxs13FO/XWUZ3+fzdhPphAZchaz1i8M5eU9QtB29lhOvrmsmLeW0x7gwpcbMF0vd4+zyqMa6y8537+BcqtZQ0beOZqHOz9Cx24daN+l3W1W+D9OBfP+40u3suSuF9gzbyWd1bw/n7qB/uRl5pAYbpuexaKUlHceXrqFhXdPZfv8lfSYUqg/+th5Pu/7Mt8MnUH3J4didLTXUqrmyJv82IJqN2cFdRgYgBCiK7BUCNFOFrFIIcRkYDLAaPc7ucul+Q39SEZMEq6+ha2BLj6eZMSW3olzbvV+esydCIA0mdn35vKCc8NWzeRaROwN/f6tEh8TTx2L1mRvHy8SYxPLCFHIXQO6cyrkNFnXswA4+Nch2nRqzfED/1SK1pJIi0miZr3C+K/p60n61dLj/8ya/fR5e2JB2EsHzpCZnA5AxF+h1GnnR5Q6NK8yiL4Sa9XrUa++D7ExV0v0Ex0di9FopJabK8lJKQR17sCw4QN4c85LuLnVwmw2k52dw1df/MCypb+wbOkvAMx44wWioyvfjjJiknC1iHtXX0+ux5Vt+3epcd9seDeidhzHnGciKzGV2MPh1AloSlpUfKnhbzdx0fH4WPRq1fH15mrsjfeOxMclcD4sgk7BgQUT8LUgOTYRD4ueWA/f2lwrwfZbdW/PgKfv58OHZ5GXYz0n647BXTm26aDmjSQAKbFJuFvod/P1LFF/i+7t6Pv0/Xz28JuYLPRvXbiKrQuVRQ3GfDyF+IiYYmErk6zoJJwt9Dv51ibLIu+3c3WiVsuGdPtdWYnT0duNO5e8yMHx7+HesRm+g7vQZsYj2NeqgTRLzNm5RH67WddfAeJjEqhTz6Lc8vUiMa5i5VaP/t04dfSMRbl1mNYdW/PPgROVovV/kfQi5a6rrycZZZS7YWv20+vtiWyxcGs5NNgmvSoAqbFJ1LLoia3l60l6XOlD2E+s2cd9b01E2Z+wkIRz0eRmZlOnRQNi/omoLLk2R5+zohFSyn2AF1Cs6VZK+aWUMkhKGXSjFRWAq6EXcGviQ82G3hjsjTQbFszFLSFWfmo1KXwhanxvIKlqhcTOyQE7Z2UsZP272iHzzFYT87XgTGgY9ZvUx6ehD3b2dvQe1pO9WyqWgVy9cpUOwQEYjAaMdkY6BAdYTczXgtjQC7g38aGWGv8thwRzvkj8u/sVxn/TewNJjlTiP/Lv43i3aoSdkwPCaKBBcCsSz1pPLr3dhBw5jr9/Yxo1boC9vT3/98AgNqzfZuVn4/ptjBp9PwDD7h/A3zv3AzCw3yg6tO1Jh7Y9Wbzoez54bzFffaGsXuXlrRQcDRr4MnhYP379pfJX1roaegE3v0Lb9x8aTGSRuHfzs7b9a2rcp19JpL7ai2Xn7Eidjs1IPqet7Z88dppGTRtQv5EvdvZ2DBjeh52bd5cfEKVi4+jkAEBNt5oEdm5P5LnKXdCgKBdDz1PHz5faDbwx2hsJGtKN41usV6Vp0NaPR+Y+xuJJC0hLTC12jc5Du3N4rfZDwAAuhZ7H288HT1V/xyHdOLnliJWf+m39eHDuY3w96V3SLfQLg6CGuysAvq0aUa9VI8J2aTtBOuXYeVya+uDcyBthb6Te8K7Ebi7Un5eWyaa2k9nW+Rm2dX6G5JBzHBz/HtdCL7B3+JsF7he+2sDZT1ZpWlGp7vrDQsOo71cfn4Z1sbO3o+fQnuzdsr9CYa9Gx9OhS2G5FRDcXvPhy9WduCLlboshwVwoo9xtcm8gKZEWDWhC0GxQF8LW2qayEh16Ac8mPrir+tsOCSa8SN7jaaG/ee9AklT97g29EUbllditvhe1m/qSclm7RjZbYEbe1McWVMeelQKEEK1QdsisWNPLDSBNZnbPWMLA5S8hDAbCftpJcvgVgl4cQXxoBBe3hNBuQj/q92iLOc9E9rUM/npeqZ07edVi0PKXkWYzGbHJbH9W++UTzSYzn8z4jAXL52EwGNjw0yYiwy8y8cXxhIWGs3fLPlp2aMGcr2fh6uZK177BTJw6jon3PsbOdbvo2D2Qb7d+hZSSQzsOsW9rxQqM24U0mdk+YwkjfngJg9HAiZ92khh+hW5TRxD3TwTnt4TQcUI/GvVoiznXRNa1DDZOVeI/+9p1jny9gdF/zgYpifgrlIhKXtnGZDLx0gtv8tuq7zAajSz/4RfOnD7L9Nef5VjICTas38YPS37m86/f50joNpKTU3h0wnPlXnfp8oV4eHqQl5vLtKmzuJZS/MX0dpNv+4OWvYQwWtj+CyOIP1627Z9YsoVe70/moa3zQQjCfv6bpDPajhs3mUzMe/UDFq/4EIPRyKoVf3I+LIInX5rEyWNn2Ll5N20DW/Pht/Oo5V6Te/r24Mlpj/J/94yhaXM/Xpg1BSklQgiWLF7BuTMXyv/R24jZZGblzG+ZsvQ1DEYDe3/+i5izlxn8/ENE/XOe41uPMGL6GBxrOPHYoqkAJF9JYPFjCwDwbOCNh68XZ/ef0lS3pf7fZn7H40tfxWA0cODnv4g9e5kBzz/IpX8ucHLrEYZOH41jDUcmLHquQP83j72H0d6OKb/MAiArPZNlz3+m+TAwaTJz4tXvCV4xHWE0cGnFDtLDLtPypQdIORZB3OYj5V/EhlRn/WaTmU9nLGT+MmX58I0/beZi+EXGvzCO8OPh7Nuyn5YdWjDrq5m4utWka59gxk8dx6Q+k/l73S4Cu3Xgqy1fgJQc2nmY/VsP2PqWijHtjfkcOnqclJRU7h0+hicfHcuIIf1tLQtQbGfHjCUM/0HJ+0/9tJOk8CsEq+VuxJYQAoqUu5unFvZK1O/SivSYJFI17Ekvqn/jzO95ZOnLCKOB0J93En/2CvdMHUHM8QjCt4YQNL4fTXu0w5RrIis1gzVTleWjGwa1ZOSTQzDlmpDSzIbXvysYnfG/SnVaulhUJ7FgtXQxKKOjX5VSlrkQ/BcNxlSvm7RgJXHle6rCDDbULd9TFeatJG0rabeTeR7BtpZwSyzO1baScLvp5tTA1hJuCafq3fFO7yztV3LTUfjYPql8T1WYDUer3v4sN8qiTjPL91RFSRXV9pUNgBkXl1eLzOfOevfcVEQfjN6p+f1Vu54VKaXR1hp0dHR0dHR0dHR0qiu2Wob4Zqh2lRUdHR0dHR0dHR0dnZunOo2s0isrOjo6Ojo6Ojo6Ov8iqtNqYHplRUdHR0dHR0dHR+dfhN6zoqOjo6Ojo6Ojo6NTJdF7VnR0dHR0dHR0dHR0qiT6BPsqRuPcvPI9VVEmGav30r99ml22tYRbYkzTBrQN0XZTw9vF0IaVuxFmZTPCxd7WEm4Jc+5VW0u4ZSLDPcv3VEUxiWqxemip1Ha7bmsJN81CDPyVUbt8jzqVxpMhs20t4abJWTTD1hL+FZj1YWA6Ojo6Ojo6OtWP6rxHCVTvioqOTknolRUdHR0dHR0dHR2dfxH6MDAdHR0dHR0dHR0dnSqJPgxMR0dHR0dHR0dHR6dKoves6Ojo6Ojo6Ojo6OhUSfSelf8RvHp1oPVb48Fo4PLy7UR8uqZEf3UHd6HjN8+zt9+rpIZeAMC1TSPavTsJo6szSMm+/q9hzs7VUj6+PQMImjMWYTBwbsUOTn22tkR/DQd15u6vnmXDgBkkHY/AwcOVu758htqBTbnw898cfm2pprpLwuHOO6n59NNgNJK5bh3Xf/yxmB/Hnj1xnTABpCT3/HlS33pLU429+9zF3Hdew2A0smzJL3zy4ZdW5x0c7Fn0xbsEdGxLclIKkyY8x6WoKzRsVJ+9hzZw7mwEAEcOHePF59+wCrts5WIa+zXkruDBmtyLY5fOuD2nxPf1tetI/2GF1Xnngf2p9dR/MccnAJDx2x9cX7segJpPTsapWzAAad/9QNa2vzTRbIl90J24PjkFYTCQuWEdmT+VYC9396LGuAkgJXkXzpM2bw4AbnMXYNe6Dbkn/iF1xnSNlRenOth+Wbj17EjjOf9BGAxcXbGVmM/+sDrv9VAvGs0YR05sEgBx320g/settpBagHuvQJrM/g8YDVz9cRtXimjOp/agYFp+PY3QAS+REXoeYW+H/4LHcengD2ZJxIxvSd13UmP1UKPHHdR97b9gMHDt140kffWL1fla9/fBe9ok8uKU9JuyfC3Xft1UcN7gUgO/9V+QvnUvV+cs1lR7w54BdJ81FmE0cHrFDo4tsi632ozpTdvxfZEmM7kZWfz9yjckn43GYGfkngWT8Grvh8FoIPy33RxdWHKZV5k0vieAe1T9J1fu4HAR/e3H9CZgnKr/ehbbXvmGpLPRtBzejTseH1Tgz6t1Q34c+DoJp6K0voVSeX3uB/y95yCeHu6sWva5reWUiNE/AIf+Y8FgIO/oDnL3WMe/Q78xGPzaACDsHRAutbi+YLKFB2ecn1yA6cxhcjYu0VK65vyre1aEEOlSStcibi2BLwB3wBHYBfwGvKN6aQZcATKB41LKcWq4j4EHgIZSSrMQYiLwrBqmDRAGmICNUspXbuuNGARt5v+HQw+9TVZ0Il03zeXqpiNkhFsvB2t0caLxpAGkHDlbeL9GAx0WPsXxpxaSdioKew9XzBovnywMgs5zx7N95HyuxyQxYP1sLm86QupZ62V47VycaPVofxKOnCtwM2XlcvzdX3Fv2QC3Vg001V0iBgM1n32WlBdfxBQfj+fnn5O9Zw+mixcLvBjr18dl9GiSnn4amZ6OcHfXWKKBd95/gweGTST6SixbdvzGxvXbCA87X+Bn9LgHSUm5xp2Bfbl/xCDeeHMakyY+B0BkRBS9egwr8dqDhvQjI0PDZUwNBtxefJbEZ6dhuhqP9zefk7VrL3mRF628ZW37i2sffGLl5tgtGIcWzYkfPwlh70DthR+Rve8A8rq2+mtOeY6Ul1/AnBCPx2dfkLNvD6Yoa3txHjWalOeeKmYv139ZiXB0wmnQEO00l0Y1sP0yMRjwm/sYZ0a+SU5MIm3XLyBl0yEyz1ovaZ64Zg8XX/vaRiKLYDDQdO5jnHx4NjkxiQRseIekzYfIDLfWbHBxwmfSINKOhBe41R3dB4DQ3lOxr12L1j++zvEBL4OWLZgGA3VnPsXl/7xKblwCjX/5mPTtB8g5b/3Sm7ZhZ6kVEa9nx5J56B8t1FohDIIeb43nz0fmkxGTxP/9OZuLW46QbFFunV21j1PLtgPQuG8nus4cw/qxC2g6+E6Mjnb80nc6dk4OPLz9Hc6t3kfa5QRN9fd8azx/jJ5PekwSI9fO5sKWIyRZ6A9btY9/VP1N+nbirhljWD1uAWGr9hK2ai8AtVs2YMg3U6tURQVg+MC+PDJiKK/Oec/WUkpGCBzum0DWsnnI1CScJs0hLywEmVD43pazeVnBd7vO/TD4NLa6hEOvBzBfPKOZZFtSnXpWDBr9zifAh1LKQClla+BTKeUm9TgQOAyMVo/zKyoG4H7gEnA3gJTyO4sw0UAv9fj2VlQA907NuB4RS+bFq8hcE7Gr9lJ3QFAxf81feYiIhWsxZxX2mtTuGUDaqSjS1IwmNzkdzNoaRe2O/qRFxpEeFY8518TF1ftp2P+OYv46vPQApxb9icmi18eUmU38wXArN1ti36oVpitXMMXEQF4eWdu349i9u5Uf58GDyVy1CpmeDoBMSdFUY6egACIuXORi5CVyc3P547d13Deoj5Wf+wbdy8oVSgvtmlUbuatn13Kv6+JSgyeensj7CxZViu6SsG/TirzL0ZiilfjO3Lodp7u6lx8QsPNrTPaxUDCZkVlZ5J47j2PwnZWsuIiGlq0xRV/BHKvay47tOHTrYeXH6b4hZK35o0R7yT0aom3lqgyqg+2XhWvHZmRFxpAdFYfMzSNp9W48+mtrDzeKa8dmZEbGFmhOWL0bz/6di/lr9PIooheuwpydU+Dm3KIBKbuVl/zcxFTyrmXg2sFfM+0ATgEtyI2KJvdyLOTmkbZ+J673Blc4vGPbZhhre5CxJ6QSVZZMnUB/UiPjSFPLrfNr9uPXz7rcyk3PLPhuX8OxsCIowc7ZEWE0YHRywJSbR46FXy2oG+jPtcg4UlX94Wv307SIfktN9s6OJVZkWw7rRtjqfZWu90YJCmyPW62atpZRKob6/piT45Ap8WA2YTq5H7uWxd978rFr15W8k4XxbPD1Q7i4YbqgfUXdFsib/LMFWlVWfIGCZikpZUUsoRdwAlgMjKokXaXi6ONJZnRiwXFWdBKOPtYbpNVs54dTvdrEb7HO1F38fZESglZOp+uWeTR5SvsWWmcfD65HJxUcX49JwtnXw8qPR7vG1KjnyZWtx7SWd0MYvL0xx8cXHJvj4zF6e1v5MTZsiLFBAzw+/RSPRYtwuFPbFyJf37pEX44tOI6OjsW3Xt1ifq5cjgHAZDKRmpqGp6fyTBo1bsD2XatYs34ZwV0LK8XTX3+WRZ9+S2ZmlgZ3oWD09sIUV7ihoSk+HqO3VzF/Tj3vxnvp13i8PQtDHeV55J07j1NwF4SjIwa3Wjh2CsRY17tY2MrE4OWFKb5QvzkhHqOXtX5jgwYY6zfE/aPPcP9kEfZBVfMFujrYflk4+NQmxyIfzYlJxN63+EaTngO70n7rBzT/choO9Wy7maCjjyc5Vwpb43NiknDwsdbk0q4JjvW8SN56xMr9+qmLSsXGaMCxYR1cA/xxqF887VQmdnW9yI0ptJm82ATs6haP05p9e+C3ehH1Pn4NOx9VoxDUefkx4t+1TS+Xi48H6RblVnpMEi4+HsX8tR3fh1G73yf41ZHsmakMU76w7iB5mdmMO/IZYw58ROgX68lOydBMO4CrjwdpRfS71i2uP2BcH8bvep8er45k5xvFh1k3H9KF8CpYWanqiJqeyGuF+Y1MTULULB7/AMLNC+HujTkif5imwKHvaHK2Fh9m+7+KlOab+tgCreasfAhsF0LsBTYD30kpy2v+GwWsAFYDc4UQ9lJK7Zr6S9z82KJGKQStZ4/jn2eL5mbBAAAgAElEQVSLd6MLoxGPLi3Z1/81TJnZ3Pnr61w7HkHSrhOVJreYhpJ2b5ZWHrhj1hj2PfeFZppuK0Vao4TRiLFBA5Kfew6Dtzeen35K4sSJBa3NlU1J8S2LaizJD5K42KsEtu1JclIKHQLbsvTHRXTvMhA/v0Y0adqY16fPo2Gj+pWmvTjl30vW7n1kbtkOubnUGD4EjxmvkDjlBbIPHsa+dUu8vvgMc0oKOSdOgUnjzK082wcwGjHWb0DKC89i8PbG/YNPSX5sIjJDG3u5JaqY7ZdJSflokWeRsuUQiat2IXPyqDO2H00/eoYzD71RQkCNKNF+rPN+vzcncO7Zz4p5i1uxDefm9emwcQHZl+NJOxyGzDNVotgKUiTO0/86QNqfO5G5ubg9PBCf+S9wecJ03B8ZTMbOQ+TFajd0yooS89Hi3k4u2crJJVtpNrwrnZ4Zzl9Tv6BOYFOkycwPQVNwcHNh+G8zuLz7BGlR8cUvUFlUUP/xpVs5vnQrLYd1pfMzw9kytbAcrhvoT15mDolFhh3q3Cwl9wTYtQ3GdPpgwQOy69wH07lQZGpSif7/FzFXozkrmvSsSCm/A1oDvwA9gf1CCMfS/AshHICBwCopZSpwAOh3I78phJgshDgshDi8PvN8+QGKkB2ThLNFC59TPU+yY5MLju1cnXBt1YA7f5/JPYc+xe2OZnRa+iK1OjQlKyaR5L2nyU1Kw5yZQ/zWY9Rq73fDGm6F6zFJ1KhX2IJZw9eTTAv99q5OuLVqQJ/fXmPYgQ/x6uTPPd9PxTOgiaY6K4I5Ph6DRWuywdsbU4J1YWqKjyd7zx4wmTDHxpIXFYWxvnYv+NHRsdRr4FNwXK+eD7ExV4v5qd/AFwCj0UitWjVJTkohJyeX5CSl7h567CSREVE0a9aEzncG0iGwLSH/bGfdphX4N/Nj9bofKv1eTPHxGOvWKTg2entjTki08iNTUyFXaTu4vmYd9i1bFJxLX7Kc+AmPkfjcNBCCvEvaFrpK70OhfoOXN6ZEa3sxJ8STvW93gb2YLl/CWL8KzM8qQnWw/bLIiUm06ilx8K1Nbqz1y0BecjoyR5nTd3X5VlwCmmqqsSjZMYlWvSEOvp7kxBVqNro6U6NVI9r+PptOBxdTs1MLWn//ijKp3mQm8o3vCe37ImcmvoOxVg2yImI01Z8Xl4C9b6HN2Pl4kXfVOv2aU9KQavq99stGnNo2B8A5sDXuo4fQdNv3eL80iVrD+uA1daJm2jNiknC1KLdcfT25Hpdcqv9zq/fjpw5vbja8G1E7jmPOM5GVmErs4XDqaGxL6TFJ1CyiP+Nq6frD1uzHv8gwsZZDg/VelZtEpiUh3ArzG1HLE5lWcru4sW1X8k4UxrOxQXPsOvfF+ZmPcOj7CHYd7sL+3ocrXbMtkVLe1McWaDUMDClltJTyWynlMCAPaFeG9wGAG/CPECIS6MENDgWTUn4ppQySUgYNdL7xMcPXjp6nRlMfnBt5I+yN+AzvxtVNhV3+eWmZbG8zmZ2dp7Cz8xSuHTlHyLj3SA29QMJfx3Ft0wiDswPCaMCjW+tiE/Mrm8RjF6jZxAeXht4Y7I00HhbM5c2Fw9Vy0zL5rd0TrO7yPKu7PE9CyHl2TviApOMRmuqsCLlhYRgbNMDg4wN2djj17k323r1WfrJ378YhMBAA4eaGXcOGyjh/jTh65B+aNvWjUeMG2Nvbc/+IQWxcv83Kz8b12xk56n4Ahg4fwK6dSkZZu7YHBoOSFBv7NaSpvx+RkZf47psVtGt5F53a92ZQ/1GcPxfJsEFjK/1eck+fwa5BfYy+Snw79+lN1m7r+DbULiyQnXp0Iy9SnQhqMCBq1QLAzr8p9s2akn3wUKVrtiQv7AzG+hb20rM3Ofv2WPnJ3rMbhw4dARC13DDWb4gpJrqky9mU6mD7ZZF+7BxOTXxxbFgHYW+H57AeJG+2tgf7OoXDNDz6dSbrrLZ5ZVHSj53D2UKz17AeJG06XHDelHadQ20nEnLnE4Tc+QRpIeGcnjCfjNDzGJwdMDgr7XBudwcgTeZiE/Mrm6x/wrFvXA/7+nXB3o6aA+8hfft+Kz9G78I4d+0dTM75SwDETFvAhd7juXDvBOIXfE3q6q0kfPCdZtqvhl7Azc+Hmmq55T80mMgiw6zd/AqH1za+N5Brkcrw2/QridTv3hZQ5q7U6diM5HPapum40Au4N/Ghlqq/xZBgLhTR726hv8m9gaREFg4fRgiaDepC2Fq9snIzmK9cwODpg3D3BoMRY9tg8sKPFPMnavsinF0wXy5cGCn7j0VkfvwsmZ88R86WH8kL3UXutp+0lK85ZuRNfWyBJsPAhBADgG1SylwhhA9QG2X1r9IYBUySUq5Qw7sAEUKIGlJKTWa+SpOZU9O/I2jlqwijgcsr/iI97DLNXnqQa6EXiN9UPAHkk3ctg8jP19F149sAxG89SvzWo1rILkCazBx+bQm9f3wJYTRwfuVOroVfIWDaCBJDI7iyuezJk8MOfIi9qzMGBzsa9g9i26j5xVYS0wyTibSPP8bj3XfBYCBrwwZMkZG4TJxIXlgY2Xv3knPwIA5BQdT+/nuk2Uza558rrf+aSTTxyrTZ/PLHNxiMRn784VfCzpzjldee4VjICTZu2M7ypb+w6Mt3OXhsCynJ13hs4vMAdO3emVdee5a8PBNmk4kXn5tJSvI1zbQXvxkz1z74hNofLgCjget/biAvIpKakyaScyaM7N17cXnw/3Dq0V1pzU9NJeXt+UpYOyNeiz8GQGZcJ/nNt7UfBmY2kf7ZR7jNew9hMJC1aT2mi5HUGP8f8sLPkLNvL7mHD+JwR2c8vl4CZjMZXy1Gpin24v7BpxgbNkI4O+P54y+kfbCA3MPaVrgKqAa2XyYmM5GvfU3LH2cijAbiV24jM/wS9aeNJCP0PCmbD+Hz6EDc+3VG5pkxpaRx/vlPba75wqtf02bFDITRQNzK7WSGX6LhtJGkh54jefPhUoPa13ajzYoZSCnJiUni3JRPSvVbaZjMXJ2zmAbfvAUGI9d+20zOuShqTxlL1olwMv46gMfYYbj2CkaaTJivpRE7/X3tdZaANJnZPWMJg5Yp5VbYTztJDr9C0AsjiD8ewcUtIbSb0I/6PdpizjORfS2Dv55XhlCdWLKFXu9P5qGt80EIwn7+m6QzlzTXv2PGEob/oOg/9dNOksKvEDx1BHH/RBCxJYSACf1o1KMt5lwTWdcy2GwxBKx+l1akxySRquXQtRtg2hvzOXT0OCkpqdw7fAxPPjqWEUP621pWIdJMzobvcRr9MggDecd2IuOvYN9zBOboCEzhyntP0Yn1/1Zs1UtyM4jbLVYIYUZZqSufD4AGwCAgf5bwu1LKZRZhdgAvSikPCyFqoEzG91OHgOX7+R34SUr5k3ocCQRJKcsdXLux7sjq80SKkGis3lvh9GlR/cfdtg2pei3uFeF4u6oxFOhmsXexzUS+24U5t8SJb9WKyPDik+GrCyZZveO/tlvVWJHuZvkrw7YLJdwK2dXbdHgyZLatJdwSOYtm2FrCLeEyc3m1sCBf9zY39W4ck3JK8/u77W/CUsrShpZNLSNMT4vv14FiJaSU8v+KHPvdnEIdHR0dHR0dHR2dfy//6k0hdXR0dHR0dHR0dHSqLtVpGJheWdHR0dHR0dHR0dH5F1Gdli7WKys6Ojo6Ojo6Ojo6/yKqU8+KZksX6+jo6Ojo6Ojo6Ojo3Ah6z4qOjo6Ojo6Ojo7OvwhzNepZ+VdUVi7ZV9/bTNf7vmxO+1qNbS3hJsmztYBbwql1TVtLuGWuH0+3tYRbYpFDtViBs0S6mpxtLeGW6EX1Xbo4Ld2RIKqx7UvYYHSxtYqbprov/evw5BxbS/hXUJ2GgVXft3idakH4GS9bS7glZtrZcHPGW2RvRD1bS7gl+gdV37jP57fzDWwt4aY5YMy0tYR/NZeTa9lawk3jZp9tawk6OjrloE+w19HR0dHR0dHR0dGpkug9Kzo6Ojo6Ojo6Ojo6VRJ9zoqOjo6Ojo6Ojo6OTpVE38FeR0dHR0dHR0dHR6dKoves/I/QoGcAXd8cizAaCFuxg9CFa63Otx7TmzYT+iJNZnIzstj18jeknI3GYG+kx/xH8e7QBGk2s++NZcTsO625/sb3BNBz1lgMRgMnVu7g0CJr/QFjetNhXF/MJjO517PY+so3JJ2NBsCrVUPunfcfHGs6I82SH4fMxJSdq6l+j16BNJ0zEWE0ELt8G5c/W1WiP6/BwbT++kWO9n+Z9NDzCDsjzT94Atf2TRBGI3G/7OTyp39oqh2gc88gnn7zSYxGA+tWbGDFwp+szgd0ac9Ts57Av3VTZj/1Nn+v21Vw7vHXJhHcuwvCYODIriN8OnORptrr9gogcLZi+xE/7iDss7Ul+qs/6E66fv0s2wa8TnJoBB6BTbnj3UnKSQGn3v+d6A2HtRNeAsbWnXD6v8lgMJC7bzM5W3+1Ou94/ySMzQMAEA6OCFc30l8ZaQupBTTsGUAPNe2eWrGDo0XSbtsxvWk3vjDv2fHKNySfjcZgZ6Tngkl4t/fDYDQQ9ttuQhaW/Owqk/b3BDJ65n8wGA3s/Gkb6xZbp7/+jw7hnpH3Ys4zk5p0jW9eWkTilXgAvjv/M5fCogBIupLAR4/N11x/w54BdJ+l2P/pFTs4ViT+24zpTVuL+P/bIv7vWTAJLzX+w3/bzVEbxL9nrw60eGsCwmggevl2Ln66ukR/dQZ3of03UznYbzppoReoO6IHjZ8cUnDetU0jDvZ5hfSTF7WSTq2eHWn05iQwGkhYsYXYhb9bna/9YG8avD6e3NgkAK5+v46EFVsBaL5sJi4dW5J+6BTnJrytmWZL/O8JoP8biu0cXbmDvYutn3+n0ffSWS13c65nsW76NyScvUK9Dk0ZNE/JO4WAnR/9Ttgm7fNOo38ADv3HgsFA3tEd5O6x1u/QbwwGvzaKTnsHhEstri+YbOHBGecnF2A6c5icjUu0lF4ur8/9gL/3HMTTw51Vyz63tRyb86+fsyKEkMAyKeVY9dgOiAEOSCkHCyEmAO8CVyyCPQJcB04DZwAnIA1YKKVcIoTwA3YDjaSUZovfOgZMllIevK33YBB0f2s86x+ZT0ZMEsPXzebi5iOkqC/zAOdW7eP0su0ANOrbieA3xrBxzAJaPdILgN/6TMepdi0G/DCNVYNmgoaGIQyC3m+N5/fR80mLSeKRtbM5v+VIQWUE4MyqfRxX9Tft24l7Zozhj3ELEEYDAz5+go3PfU7C6Sic3F0x52q8DK7BgP+8SZx4aDbZMUkEbpxP0ubDXA+/bOXN6OJEvUcHknokvMDNa0hXDA72hPR6AYOzA3f8/RHxq3aTfSleQ/kGnn1rCtMeeZn4mAQ+X/cZezfv4+LZqAI/cVeu8s7Ud3n48Qetwra9ow3tgtrxaN/HAfjkjw/p0DWA0H3HNRIv6Dh3Arsensf1mCTu3TCH6M0hpIVfsfJm5+JEs0n9STxyrsAtNewy2wa8jjSZcarjTp9tc4nZHII0mYv+ijYIA04PPsH1ha8jUxKp8eKH5J04gDn2UoGX7D++Lvhuf/dgjA38baG0AGEQ3P3WeNY+Mp/0mCQe+HM2kVuOkGyRdsNX7eOkmnb9+nai+8wx/Dl2Af6D78ToaMdPfadj5+TAyO3vcHb1PtIuJ2io38C42Y+xYMxskmITmbXmHY5uOUT0ucK0e/FUBLOGvEROVg69x/Tn4eljWfT0BwDkZOUwc+CLmuktijAIerw1nj/VvP///pzNxSLxf3bVPk6p8d+4bye6zhzD+rELaKrG/y9q/D+8/R3OaRz/GAQt5/+How+9TXZ0Ip03zSNh02EyiqRfo4sTDSbdx7UjZwvc4n7bTdxvuwFwad2QDkumaVpRwWCg0VuPE/7IG+TGJNJ63bukbD5I1lnrfD957W6iXv+qWPDYxaswODviPaafVoqtEAbBgDkTWD56HqmxSUxaM4fwrSEknC2M+xOr9xKyfBsALfp0ou/ro1kxfgFXwy7z9RAl73St487kDXMJ36px3ikEDvdNIGvZPGRqEk6T5pAXFoJMKNSfs3lZwXe7zv0w+Fgv7e/Q6wHMF89oJvlGGD6wL4+MGMqrc96ztZQqQXUaBlZZu3hkAO2EEPkL3ffFumIC8JOUMtDic0p1Py+l7CilbA2MBJ4XQkyUUkYCl4C78i8ghGgF1LzdFRUA70B/UiPjSIuKx5xr4vzq/TTud4eVn9z0wqU97Ws4FlRG3JvXJ3rPSQCyElPJSb2Od4cmt1timfgE+pMSGcc1VX/Y2v34F9GfY6nf2bGglt347vYknL5EwmnlxTorJR1p1taoa3ZsRlZELFlRV5G5ecSv2oNn/87F/DV+eSSXF63GbNnrIyWGGo5gNGBwcsCck4cpTdtlWFsFtiQ6MpqYqFjycvPYvnoH3ft1s/ITdzmOC6cjMBeJWyklDo722DnYYe9gj52dHcnxKZpp9+zoT3pkHBlR8chcE5dW76de/zuK+Wv78gOEL/wTc3ZOgZspM6egcDU42mPrvNDQuAXm+BhkYhyY8sgL+Ru79sGl+re/4x5yj+zUUGFx6gT6cy0yjlQ17Z5bs58mZeQ9djUK066USloWRgNGJwfMuXlW6VwLmgY2I+5iLPGX4jDl5nFg7W469bNOu2f2nSAnS7Gbc0fD8fSpranGsqhTNO9fsx+/Cub9SLCziH+TDeK/VqdmZEbEkXXxKjLXRNyqvXgNKJ53Nn3lYS4uXIM5K6eEq4DP/d2J/WNPZcu1wiWwOdmRMeRExSFz80havRv3fl0qHD5tz3HMGbZbcrteoD/JkXGkXFJs5+Ta/bTsW0a5W8Ox4HteVmHeaedor2XbZgGG+v6Yk+OQKfFgNmE6uR+7lsXz/nzs2nUl7+S+wvC+fggXN0wX/tFC7g0TFNget1rVf/+u24WU8qY+tqAyh4FtAAYBvwKjgBVYVDQqgpTyghBiKvA+8J16jZFA/tvESNXttuPi60F6TFLBcUZsEnU6Fm9xbTO+D+0fuw+Dgx3rHp4LQNLpKBr368T51ftwrVcbr/Z+uNSrTfyxC5UhtURcfTxIiy7Unx6ThE9gcf0dxvWh02P3YbS349eRin6Ppj6A5P4fXsLZsxbha/dx+PN1WkkHwNHXk+zowtbInJhEanZqbuXHpV0THOt5kbTlCPWfGFrgnvDnfmoPuJPg419hcHbkwszvyUvRdoMyL18vrsYU9uTExybQumOrCoU9FXKao3tD+e3ITyAEq75fTdS5qPID3iacfTzJvJJYcJwZk4RnEdt3b9cY53q1idl6lBZPDLQ659nRnzs+nIxLAy8OTllsu14VwOBeG3NK4XMwpyRgbNyyRL/CwxvhWRdTuEY9WKXg4uNBepG0W7eEvKfd+D50UNPuajXvubDuIE36dWLCkc+wc3Zgz5vLyU7J0Ew7gEddT5Is0m5STBL+gc1L9X/PQ/dyfEdIwbG9owOz1ryDyWRm3eI/CNl829uiyqSi8d92fB8C1PhfaxH/fv06MU6N/702iH8nH0+yogvTb3Z0IrU6NbPy49rOD6d6tUncEkLjJwaXeJ06w7pyfLy2LdAOvp7kxFjk+7GJuHYsbjvu93XFtUtbsi5Ec2nWt+TGaNhzVQa1fDxJjSmM+9SYJOqXYDtB4/rSZZJiO8tGFQ5Xqxfoz9B3J+NW34tVz2ufd4qanshrhfplahKG+iX3NAs3L4S7N+aIk/kuOPQdTfaqxRibtNNArc6tUp2GgVXm/ugrgZFCCCcgADhQ5PzDQohjFp/SthsOAfLf8n4GhqvDygAeVn+nEihh5+YSnuupJVv5qccLHJy7ko7PDAcgbOVOMmKSuH/9HIJnjSHuyFlknqlyZJaGKK6/JLsMXbqV7+56gV3zVtJF1W8wGqkX1IINzyzi5xGz8e8fRMPubStbsTUl6Le6ASFoOnsCF94sPia2ZsdmSJOZAx0mc+jOJ6n/3yE4NapTiWKLI0qwn4pmDPX86tG4eSMe7DyKB4NG0rF7IAFd2t9uiaVT0qblReK+w5tjOD5reYnBk46eZ0vPl9l23wxaTRmq9LBUJUp5DvZ33E3esT0gbVe5AhAVTLsnlmxleY8X2DdvJXeoabdOYFOkycySoCks6zaVDpMHUquRd2VLtqJk/SXHebfhd+MX4M/6LwvnVEzt9jizhr7M5898xCMzJ1KnUd1K01oiFYz/k0u2sqLHC+yft5JOReL/h6ApLFfjv6bG8V9i3lnkfIvZ4zg764dSvdTq1AxzZg4ZZy6V6qdyKD/uU7Yc4p+ukznV9znSdoXS5KNnNNJ2c5Rk+4eXbmHh3VPZPn8lPaYML3CPPnaez/u+zDdDZ9D9yaEYq0TeWXLatWsbjOn0wYIHZNe5D6ZzocjUpBL961Q95E1+bMLNdgOV00WUrv4/DEwE5gI9gT9V9wnAZyWE8wNOFHHzADItjrcC/YFA4HgZGiarv38YZU7Ljd5HVynlJovj6eqn2O+o3w1SymulXGuvlLJNZcR1JekfKaX83sLfDCnltCqm301KmXDt2rUEKWWklDJLShktpQySUi6UUo618PutlPKhKqbfMv6/l1I+YOE+TY3z/OOZUsqXqpB2NyllgpQyUo1/y7gveq2/SnGvEvdSJG84KqXsZkOtN2M7SOu0W21sf/r06R9IKU9LKeuUca3vpXXaqDL6q3H8l5V35vv5UEr5qsa6Kxz3FvFvlMXL3Z5Syj9toP1m9Jf13vCX1D7vvBHbL5pfLpdSRknFphKklKlSyvk2eg6lflq0aOHn7+9/xdY69M+NfSqzZwVgDfAetzZUqyPKpPt88oeClTkETEr5pVQSepCU8sub+N1DQHOgCeCg/t6aIn6ao1SKQBnylj9TsQbgon7vC+QBp9CWW9G/CaU3rAbKUMF7qHr6rwFebm5ukSiV3P3AUJTKaRTQG6WZzgUIRlm0QUsqEv9QGP+WRKHEuR1gr37Xcjm5CsU94KfGv2XcN6FweGljoCUQqYXoUijvXvLjvyVKw8g+bM+tpN3qYvsdn3jiiSdR7OaqhbsHkD+Q3wvoTtXLe6B6x39ZeScoIy4epNJGLZRJReLeV/0/GUW39kttlk5FbQcU/Za2UxXyzgqVWwEBAVMonl+OBhqh2NSLwFLglcqVe3OYTCZPW2vQuTEqe+nib4FrUsp/hBA9bzSwugLYe8CnFs6/ofTUXEcpFCqLPOBplBd3I8q9nARmo2Tqa4Cnz5492xY4BiQD49WwddRwZpSFBcZWos7SuBX9ycAHKBmXBNYD2k5aqZj+0liIMsfpBMpLw3eA1hMRKqK/c2xsbADQGhgCvAm0RZnn1Rv4ByX+NwJarn96K3HfA6WAykWx/ycBWw4oL+9e8hmF8nJWFQbx3krarS62/26NGjWMwC9qmCiUF8/WwBcotmMA5qN9ZeXfEP9lcTdwGdBukmUhFdH+DDD0zJkzTdTvEyzC70IZNu6Kcg+PqtfSigrZDtDn9OnTTYCpFNpOVcg7K2Q748ePr41SGakK+WWFadmy5Qqgp729vWPLli0vA2+EhYV9Y2tdOuUjpLz9tiaESJdSuhZx6wm8KEtfuvhJIJriSxcvllJ+V+Raq4G6UsrSl/XRCCHEYSllkK113Cy6ftui67ct1Vl/ddYOun5bo+u3LdVZf3XWDtVf/7+RSulZKVpRUd12ADvU798D35cSvLSJ9pbXGnbT4m4/NzPErCqh67ctun7bUp31V2ftoOu3Nbp+21Kd9Vdn7VD99f/rqJSeFR0dHR0dHR0dHR0dnVulsifY6+jo6Ojo6Ojo6Ojo3BR6ZaUEhBA+QoiVQojzQohTQoj1QogWQohMdU+YU0KIpUIIe9V/TyHEn+r3CUIIKYS41+J696tuD9jwnu4vsq/NMSGEWQjxhKptioXfz9R5RVppS1f/+5WlRQjxvRAiQggRKoQIV59B/aLXsTieIIT4TP3eUgixQ73v00KISukGLsN2ThTxN0sI8aLFsZ0QIkEIMa+Iv8FCiKPqPZ8SQjxeGbpLuA8phHjf4vhFIcQsi+PJQogz6uegEKKH6m4UQhwRQtxt4XezEOJBLXSXhBDCpD73E0KItUIId9U9397mWPj1EkLk5tuNLbHIN1pZuDUXQvyp2tcRIcRf+XGt2nt8kTTexnZ3YBX3J1UbniqEMKjnLPPNuup95dv5+iqg2cpeLM4/L4TIEkK4Wbj1FEJcU9NqmBDibyFEybstVjJCiNoWzz9WCHHF4tihFLsKUu/XQT32F0JcEELUuo26LOP1FyFE/XJ03tBzEEL0twifrj6HY0IpJwpsTfU7XAhxXM2//hFCDC+qtzKwuKdQIUSIEKKbFr9bhp5iuyWLEsrKsuLWItzH6jPMT98TLcLkqPF8TAgx/zbfgxRC/GBxbKfmg5bvZMXyRaHk/5lqmj0tlHJsvBrGTwhxOf9eLK59TAhx5+3Ur1NBbL12clX7oKzgsg/4r4VbIHAX6h4wKKtkbAdGq8c9sd5D5jjwtUX4n1BWjdF6v4Cy7nMysBNoCsQB5wAH9dxnwAQNteTvy+NXlhaUeU4PWDyn54FwC7/pRa47AXU/H5TVTYZZnGtvC9uxcJ+FsuBE/vFAYA9wnsLhmfYoi040UI8dgZYaPZMsIALwUo9fBGap3wcDRyzOdUJZzclHPe6CspKZPcoqW5u00FyefanflwCvWdjbeeCoxfkn1LRabB8oG+j+GWV1o/x4d1LtfaiFn3YW6WNCVdBdRtzXQdkn6031uCeF+eYXwLMWfgOqiOYCe7FwO6g+lwkWbgX3oh4Hoiw7e6+N498qnynJrizcFwGvqt83AqMqMV6XA1PL0XnDz8Hi3A4gyOLY0tY6oJQxTdTjJupxpdtckXvqD+y0sX2kl+BWZllZNG5VNwNKGbAf6FnCNW5MaO0AAAioSURBVCNRy4vKuAfgKOCsHt+Hkoff0L5+KO9Cx4CJ6vE+4B6L862A87Z8Xv/mj96zUpxeQK6U8vN8BynlMeCSxbEJJaOsXzw4oGSgdwoh7IUQrkAzlERQJRBCtABmoiypbAbigW0ULqFoSyqkRSp8CMSiZE7l4YuylGV++H9uRWQplGs7ZTAK+Bglw89f5a4myiIYieq1sqWUYbdVcenkoUxCfL6Ecy8D06SUCaquEJSXiafU4wPAXpQXkLn57lWEfVin20zgtBAif2WYh1Fe5myKmm90R1l6daTqPBrYJ6UsWHpWSnlCKguWVHmklFdRGkmeFqLYNutF06fWy/2WhpW9CCH8UZbFfR0lzZaImu5noywDW2Uoxa7yeRWYJIR4CbCXUt7K/mjlsQulXKwoN/UcSuFFYK6UMgJA/T8PmHaD17lVaqEse13VuJmyshfKct2LufHncTvYgLJnDerv37DtSikvoCwl/YzqlL+nXz5l7u2nU7nolZXitENpNS4VIYQTSuvxxlK8SJQWxP7AMMpf114zhDJ07UeUVqwoi1PzgReEEEbbKLPiRrSEoLR4lMeHwHYhxAZ1+IB7uSFunLJsx9+yGxr4b/4JIYQzcC/wJ0pmOApASpmEYjsXhRArhBCji3ZLVzILgdHCYriLSluK3+dh1T2f6cBzwI9SynOVJ7HiqPZ0L8XT40pgpBCiAWBC6c2yNcOBjVLKcCBJCNEJJX5Dygn3cJHhDuWurqgl6guBAaWXxZKFwDdCGdb2mhCinvbqrCnFXvJfhHYBLYUQRe/DkormTVpSkl0BIKVMAd5BeXF/srIECCHsUBqYKtRgdBueQ1Eqkn9VFs5qujwDfA3MKS+ADbiZsjL/efwBDFbfM7QkPw93QtnQ+kCR8xXNFy3T7M/AcNVeQWnIssVGqTrolZUbxV990UwEospp/VuJUhOvarXxOcBJKaVVolNblw4Cj9hE1c1rKdpCW+xy6jW/Q9lw7heUIQH7hRCOZYS73ZyXUgbmf4DPLc4NBv6SUl5H2fT0/vyKmpRyEkpBfRClRfBbrQRLKVNRNv56pjy/KM/BcmnBu1F2ym5XCdJuFGeLdOsJbClyfiPQF6XA/UljbaWRv0kl6v9irZVCiD+EMp7/dwvnnyztTEqZqYXYG6RYmpVSbkIZhvEVysvCUSGEt9bCVMqyl5HASimlGfgdZaf30igvb7IF5dnVfShDcStjrlN+vB5G6UEubzO+2/UcilI0ryrNrTLIVNNlK2AAsLSEXkabcqNlpVDmOQ0EVqllxgGgnwZSC1DfxfxQ7Lmk+W4VzRcLnoWUMhZlQ8x7hRCBKKMmTpQSTqeS0SsrxTkJ3FHKufPqi2YzIFgIMbS0i0gpD6K8qHmprVg2Rygbc46g9KEJc1GG+FQFu6iolo4oG4kCZKoZZz6eWOwALKWMllJ+K5V9evK4/S/SZdlOWYwC+gghIlFa/GqjdKsDSje8OuStL8rz05KPUIaMuFi4naL4fXZS3RFCuAALgN6AtxBioAY6yyJTTbeNAQeKDEuTUuagxPsLKJVFmyKEqI0Sd1+rNjENpVXvJEo8AyClvB9lPLan9ipvDiFEU5Teq6tFz0kpk6SUP0opxwKHUCq8tqBEexFCBADNgS3qcxlJ2UNeLPMmm1OaXeW/LAtlQQA3lBEB7wohatxmCZkWL4tT1HRXrn9u/TkU5SRQdEPAgvxLK6SU+wAvwFaV8lK5wbJyAIrd/KM+jx7YZijYGuA9bq1xuGiazR8KVtUanf91VIWX0qrGdsBRCPFYvoMQojNKhgmAlDIGeAVlqEtZTEcZB2xzhBAewHfAOCllWkl+pJRnUDJsm6xicyNahMIzKONr84fj7QTGqOedgYeAv9TjAaJw9TYflArBldssu1zbKeE+aqFk7o2klH5SSj+UQnmUEMJVrWDmEwhcvM2ay0QdivYzSoUlnwXAO+rLD2qr0wSUCbqgzIf6WX2GTwIfqt3zNkVKeQ2ll+jFEoYpvA+8LKVM1F5ZMR4AlkopG6s20RBlsYNwoHuRRpLb/UJZaag9JZ+jTHaVRc71zn85FkLUBPxRWt9tRgn2MgplUrqf+qkH1BdCFEvf6gv1DJThbVWF0uyqh5pfvg88pc5RWA28ZkOtBdzKcyiF94DpQgg/UFZ+Qimn3y81RCUglNXYjKhzEqsKN1FWjgImWZRfTYB+lVDZLY9vgdk3Ox9VtYP3gE8tnH9D6TXSh4DZmErZwb46I6WUQoj7gY+EEK+grIoUiTL+3pJVwCwhxF1lXGtDpQm9cf6LMk58cZFe56KtBW+jrKxRFShJy7tCiBkoL2n7gV4WLXTPAl+olRiBUjD/rZ7rB3wshMhSj6ep3by3jRuwHUv+D9gupcy2cFuNUiGYCrwkhPgCZSJ4BkqlQGvex6I3Tkq5RihLRu8VQkggDRgjpYwRylK596OsuIOU8pgQYhNKL9mb2ku3Rkp5VAgRitJStsvC/SRKi2tVYBTKvC1LfkMZFjkY+EAI8RHKcJ004C0Lfw8LdRlplSellHsrU2w55A/lsUdpof0B+KAEf3cAnwkh8lAa0b7+//buECdiIAoD8P8c4QIYHOdAEwQexw2QYLEYDBfgBgg0DgFBsB67CoVBIQbRLiHsBhbB7ojvc62YTNLOTP90+tpae1xdNxf7dr8cZr6Yx/V4/iHJblU9ZZibXpIct9ZuV9nfX/x0X+1n2MYze7twlmRSVVettefVdXGxP1yH8yXamlTVaZKb8aH8PcnJWBThv83GQzKsUUdtKNizLptVNf1yfJFkO0uulWMg2UvyWVK/tfZWVXdJDrLCbbWttWmGIjWLzM2LGb5N3BnH7EaGufRy3AY3a/O1qu6TbM0KMrAe/mAPAAB0yTYwAACgS8IKAADQJWEFAADokrACAAB0SVgBAAC6JKwAAABdElYAAIAuCSsAAECXPgCUEtt75ZIpeQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_corr = data_corr.abs()\n",
    "plt.subplots(figsize=(15,5))\n",
    "sns.heatmap(data_corr,annot=True)\n",
    "sns.heatmap(data_corr,mask=data_corr<0.5,cbar=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CRIM and RAD = 0.63\n",
      "CRIM and TAX = 0.58\n",
      "ZN and INDUS = 0.53\n",
      "ZN and NOX = 0.52\n",
      "ZN and AGE = 0.57\n",
      "ZN and DIS = 0.66\n",
      "INDUS and NOX = 0.76\n",
      "INDUS and AGE = 0.64\n",
      "INDUS and DIS = 0.71\n",
      "INDUS and RAD = 0.60\n",
      "INDUS and TAX = 0.72\n",
      "INDUS and LSTAT = 0.60\n",
      "NOX and AGE = 0.73\n",
      "NOX and DIS = 0.77\n",
      "NOX and RAD = 0.61\n",
      "NOX and TAX = 0.67\n",
      "NOX and LSTAT = 0.59\n",
      "RM and LSTAT = 0.61\n",
      "RM and MEDV = 0.70\n",
      "AGE and DIS = 0.75\n",
      "AGE and TAX = 0.51\n",
      "AGE and LSTAT = 0.60\n",
      "DIS and TAX = 0.53\n",
      "RAD and TAX = 0.91\n",
      "TAX and LSTAT = 0.54\n",
      "PTRATIO and MEDV = 0.51\n",
      "LSTAT and MEDV = 0.74\n"
     ]
    }
   ],
   "source": [
    "# 按行输出每个特征间的相关系数（系数绝对值大于0.5的才输出）\n",
    "# 设置阈值\n",
    "thresh = 0.5\n",
    "# 存储结果\n",
    "corr_list = []\n",
    "# 相关矩阵的大小\n",
    "size = data_corr_abs.shape[0]\n",
    "# 遍历\n",
    "for i in range(0,size):\n",
    "    for j in range(i+1,size): # 自己和自己的特征相关性是1，应该排除\n",
    "        if (data_corr_abs.iloc[i,j]>=thresh): # iloc通过索引下标获取数据\n",
    "            corr_list.append([data_corr_abs.iloc[i,j],i,j])\n",
    "# 打印结果\n",
    "for v,i,j in corr_list:\n",
    "    #print(\"{} and {} = {}\".format(cols[i],cols[j],value))\n",
    "    print(\"%s and %s = %.2f\"%(cols[i],cols[j],v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "3.如果发现特征之间有较强的相关性，在选择线性回归模型时应该采取什么措施。（10分）"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "强相关性的理解： \n",
    "在很多实际的数据当中，往往存在多个互相关联的特征，这时候模型就会变得不稳定，数据中细微的变化就可能导致模型的巨大变化\n",
    "这会让模型的预测变得困难.\n",
    "例如，假设我们有个数据集，它的真实模型应该是Y=X1+X2，当我们观察的时候，发现Y=X1+X2+e，e是噪音。\n",
    "如果X1和X2之间存在线性关系，例如X1约等于X2，这个时候由于噪音e的存在，我们学到的模型可能就不是Y=X1+X2了，有可能是Y=2X1，或者Y=-X1+3X2。 \n",
    "解决共线性问题： \n",
    "1.把强相关的两个特征之一去掉 \n",
    "2.使用正则 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "4.当采用带正则的模型以及采用随机梯度下降优化算法时，需要对输入（连续型）特征进行去量纲预处理。课程代码给出了用标准化（StandardScaler）的结果，请改成最小最大缩放（MinMaxScaler）去量纲 （10分），并重新训练最小二乘线性回归、岭回归、和Lasso模型（30分）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Coef_\n",
      ": [[-0.31314149  0.0465753  -0.0146663   0.05281518 -0.13752482  0.25798151\n",
      "  -0.0014678  -0.24832043  0.00072879 -0.13482652  0.06684817 -0.45467051]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Lasso(alpha=0.1, copy_X=True, fit_intercept=True, max_iter=1000,\n",
       "      normalize=False, positive=False, precompute=False, random_state=None,\n",
       "      selection='cyclic', tol=0.0001, warm_start=False)"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 从原始数据中分离输入特征x和输出y\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn import linear_model\n",
    "y = df[\"MEDV\"]\n",
    "X = df.drop([\"MEDV\"], axis = 1)\n",
    "# 对y(房屋价格)做log变换，对log变换后的价格进行估计\n",
    "log_y = np.log1p(y)\n",
    "# 对离散型特征RAD进行独热编码，准换为K个特征\n",
    "X['RAD'].astype('object')\n",
    "X_cat = X['RAD']\n",
    "X_cat = pd.get_dummies(X_cat,prefix='RAD')\n",
    "X = X.drop('RAD',axis=1)\n",
    "#print(X.head())\n",
    "#print(X_cat.head())\n",
    "# 特征名称，用于保存特征工程结果\n",
    "feat_names = X.columns\n",
    "\n",
    "# 声明一个MinMaxScaler实体\n",
    "min_max_scaler_X = MinMaxScaler()\n",
    "min_max_scaler_y = MinMaxScaler()\n",
    "min_max_scaler_log_y = MinMaxScaler()\n",
    "\n",
    "# fit训练模型,transform标准化\n",
    "X_minmax = min_max_scaler_X.fit_transform(X)\n",
    "y_minmax = min_max_scaler_y.fit_transform(y.values.reshape(-1,1))\n",
    "log_y_minmax = min_max_scaler_log_y.fit_transform(log_y.values.reshape(-1,1))\n",
    "# 最小二乘线性回归\n",
    "lr = linear_model.LinearRegression()\n",
    "lr.fit(X_minmax,log_y_minmax)\n",
    "#print('Coef_\\n:',lr.coef_)\n",
    "\n",
    "# 岭回归\n",
    "reg = linear_model.Ridge(alpha=.5)\n",
    "reg.fit(X_minmax,log_y_minmax)\n",
    "#print(\"Ridge_coef:\\n\",reg.coef_)\n",
    "\n",
    "# Lasso\n",
    "lasso = linear_model.Lasso(alpha=.1)\n",
    "lasso.fit(X_minmax,log_y_minmax)\n",
    "#print(\"lasso:\\n\",lasso.coef_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "5.代码中给出了岭回归（RidgeCV）和Lasso（LassoCV）超参数（alpha_）调优的过程，请结合两个最佳模型以及最小二乘线性回归模型的结果，给出什么场合应该用岭回归，什么场合用Lasso，什么场合用最小二乘。（30分）"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2_score of LinearRegression on train: 0.75\n",
      "The r2_score of LinearRegression on test: 0.69\n"
     ]
    },
    {
     "data": {
      "image/png": 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cMkOjx66VY7QEbtT6y/+KXR8jmVlkd/wWbUbeABkeRCJPDbOrrRqOWLcebsaOxIKlEhGRlqp6xL992QO8EPRaG1U9mAwBDY2DUDEOsbpkQxG4UaeP6cP0hcWcqKzi8NqXOfzuC+R0H8ApV/4S8URecFiILk8nQGPZeiQCu5XIC8AlwEbqKueAsu6ZQLkMjQirwLJ4K5D6N2rVkf18vfgRjn/5IXl9v0fb0b7wpVDuWwARCLUo8ojw6JW+GqNWrla7pD6nhYjSFUsloqqXiC/W/Xuq+mUSZTI0MqwCy2LFmwEdWuY2sBEsKirh1t8vYffz96BVx2l78R00O2skIoJHhNmT+tfK5aTWarVqrXfFKppz4uCCBp6hcCUFmwq2NhFVVRH5OzA4SfIYGiHRbgHC0Szb2yDQKrDqyWjdmbw+Q2lZOB5v21NrX69Wta0qBqENvcENnyC0gdNpXkxTw4l3Zq2InKOq6xMujaHREa7RUyzU95D85z//4fqrf0jz0bfhyWtF2zE/DXldwCU8fWExUDd2w65hdsBoa2XgbKyGz1DEM0/Hifl6OD5F8qmIbBaRD0Vkc1SzGdIOu0ZPseIJyhyfP38+gwYN4siOj6k86CyfpLJaQ2b8pnJzrWQQ7zwdJyuRi6Ia2dAkSGRYdrUqQx5Yykcvz+HYlpWcOXgIOaPuYL82dzxGqHaR8c5ibWzEu1eynYs3B18G77eAD4F5qtqwXbmhSROLW9QJW177A8c+XkWr70yh6rtXc+E59glyTmjMgV3xIJlFiZ4FKoF/4VuN9AVuj2oWQ1oRvJ9ulevF6xEqq+O3qVFV9PgxMnKak/+dKTTr+z1yTj2TimpYuW0fU4Z05a9rnTkMrSqVpZN9I1KSWZSor6r2AxCRecC6qGYwpByxGNXqx4SUllfizRBa53kp9W8dYlEn1WWHObDsMWoqjnLKlIfx5LXCk9eq9vWS0nIKu7VhafFXYUPTvRnCjHHRNalOZ4af3j6kEh5+evuoxrMzrNb+h8w2Jn2I1agWaj9dWaPkZWXy2OQBMSmQ8h3FfPWXWynfUUyzM4dDiLD1DPHFegQrkFyvh7mTBzB38oC6TaqviL5JdTqzctu+iJ4Ph91KpL+IHPE/FiDXfyz4QkhaRjWjwVWiNaoFVi9W9o/dpeVR1z7V6ipK33uBI++/7CtbeMUDZHXoEfLcGg2dmBeI8YhEabjZytJNrP6H0dq27CJWndfpNzQaojGqOaltqoT2hDhBqysp2/4ezc8eReuRN5KRlRPxGJEaBd1uZekmViH8Hom0YIMP04u3iRHOqBa84gh82CJtBuWUsk/Xk9O1HxlZuXT64RwyspvZnp/r9ZCdmRHSFhKpUTDebs7GhNX/Mtr/sWmj2cSwK34TbC+Bkx+qeCuQmsoKDrz5OPsWPsA3G5cAWCqQ+sWEZ4w7My7FexpzOcJYsSrqFK7YkxWurkRE5ELgt4AH+LOqznRTnqaAXYzEsJnvxD3ztj4n9n3B/sWzqNz/JS3Pm0TLcyZYnmtXpDhWW0ZjLkcYK/EOtnNSqPlhVb0n3HORIiIe4AlgFL5WFOtFZLEpeJR4rGIkEv0tXLZ9DfuXPoJk59Hhyl+R28O+VK+VyzEeMR5NOWo13sF2TlYio4D6CuOiEM9FyrnAJ6r6GYCIvARcBhglkmQCdpBEl9L3duhObs9C2oz+MZ5mrcOeH63L0QlNPWo1nsF2dmHvPwZuAXrVS7hrAayJw9wFwM6g413AeSHkCO47E4dpDVDXgOokC9eq0E84KnZtpWzbalqPvBFv6860n/Dfjq9N9MqoKUetxhM7w+oLwKXAa/7fgZ/BqjolDnOH8ic1+ISq6lOqWqiqhe3bRxdRZ6hLfQOqlVoIuPwK8nOZfE4Xmuc4N6FpTTWH1yzg6xfuofyTddSUlYa/qB5NwT6RDtjFiRwGDovIb4GDqvoNgIi0EJHzVPXfMc69C+gSdHwqsDvGMZskkQZNOal9KsCnD11cO/70hcWO82OqvjnA/qWPcvzLzeSd8T3ajrklrPu2Pk3FPpEOOPlq+QMwKOj4WIjnomE90FtEegAlwFXAD2Ics8kRTdCUk21ChgiLikoYP7CAB5ZscaxAVGvYu+A+qo58TduLbqdZvwuQCIOY7FppNtUo01TGiRIRDWrYq6o1IhKza1hVq0Tkp8ByfC7ep1U1urjpJoxV0NSMxVsaBI0FCgo7Sd+vVmX6y77KYE4iUbWqEjIykAyP33Caj7dtF9trvBlCVmZGbVe8/FwvM8aFVh7QtKNMU5mwDb1F5FXgn/hWH+Aztg5X1fGJFa0hhYWFumHDhmRPm9JE2uTaquhwLFQeLGH/4lnk9RlGq29f6egajwhXn9eFB8f3czzPwF+uCKnQUqXpdTpj19DbScTqzcBQfFuOgAflxviJZ4iFSI2PgS5ywS0uY+HoR+/w1bN3UHV4L952zr1n1aq8srHEcfbwoqISyxVRU4gyTWXCKhFV3auqV6lqB1U9RVV/oKp7kyGcITyhwtjDUVJazuzl25k+pk/UiqTmeBn7lz7KgWVzyDqlF52u/x15vYdENEYk/WvtzjNeHHexixO5W1VnicjvCO16vS2hkhkcERw05TTmA07aEwZ1bRVVCnjlgZ0c2/YurYb9gFZDJyMZ0SV9l5SWM2zmO7aG0kVFJbYyGi+Ou9gZSLf6fxsjRIoTCJqy6t5mRXllNWs/O+T4fFXl+M6PyOnaj+zOfSi46c9ktmgbjci1CCfrWIQylAaMqVbk53qNUdVl7OJElvh/P5s8cQxOCeXqjMY24DRDN1C2sPyzDXSc+ijZnfvErECg4aqpfjq+XUxLrtdjyh+mAHbbmSXYrIxVdVxCJGpiRBP3YOXqzMyAypr4y1ixYzP7lz5CdfkRWl9wE1mdTov/JEEEK0M7xWhaWKYGdtuZR/y/Lwc6An/1H18NfJFAmZoM0cY9JKr3bShK17zE4X89T2abAjpNmkHWKYnv4x5sKLWKaSnIzzUKJEWw9M6o6ipVXQUMVNXJqrrE//MD4DvJEzF9sauuFYpFRSUR2z1ixZOXT7N+I+l07VzHCkSAa4aEd/fm53rDFhiyK6JkSA2cRJ62F5GeQSn7PQCTCRcHrJbqoTwWANNfLo44izYajm1/D2qqaXbGd2nefwwtBlwY0fVDe7XhwfH9bHvDBNsz7LZzTT1lvzHgRIncCfxTRD7zH3cHbkqYRE0Iq6V6aI+F2iqQeDTVrqk8zqF3/sTRTW+S0+1s8k4/P+K8F4AvDvhkL7D4+zwidewZ4RSCSdlPbZwEm70J9MbX/e52oI+qLk+0YE2BUEv1UMqgvLKachuLaTwUyIl9O9gzfxpHN71Jy3Mvp8MVD0SlQOCkArTaijx6pekHk044KY+YB0wDuqnqDSLSW0T6qOrSxIuX3oRaqkdj7wilQDLE16PFCVVH9rJn/jQkK5cOVzxAbs/BEctQf26I/1bEZPCmJk4S8BYAG4EfqupZIpILvK+qA5IhYDBNIQEvmYZTramujTT95oOl5J02DE/z8GULnTB38oCQkafxat8JvlWNcfMmh1gT8Hqp6iz8bTVVtZzQVckMcWD6mD54MxL/9h4v2cruebdwfM8nALQYdEncFAg0zHVJRPvOSHJvDInDiRI54V99KICI9AKOJ1Sqpk6MOsTucq2p5vD7f2PP8/eg1VWQgKZU0NDzFKsSaMp9YlIdJ0rkfuBNoIuIPA/8A7g7lklF5AoR2SIiNSISconUVJm9fLvjKmKhsDOyVh09yN6//Q+lq+eT12cYna//X7I79Y56LjvqZ9bGqgSsMnVNBq/72CoR8Znnt+GLWr0OeBEoVNV/xjjvR/4xV8c4TtoR6zerAlZOlaObV3C8ZBttLryNduPuDln31Ora1nlexzKECgaLVQmYoLPUxdY7o6oqIotUdTCwLF6TqupWIGoXYroRbHAUiX2HEXy9VldSVboHb9sutBpyBc1OPx9vG2tDZJ7XQ43WDaMPZ6NpneclLyvT1mAaa7MoE3SWujgJNlsrIueo6vqES9MEqe91iKeJovLQbvYvnkX10YN0vuEpMrJybBUIwLET1cydPKD2Zm2V6+XYiSrLqmK5Xo9lUeVg4qEETNBZauJEiQwHbhaRL/BVehd8i5Sz7S4SkbfxJe7V5xeq+ppTAdO9eZWT9g3RcHTLSg6u+D2S4aHtRbeRkZXj+Nrgm3XYzHcoLQ+tQAoiVARGCaQnTpTIRdEMrKoXRHNdiHGeAp4CX5xIPMZMJeLtXdCqSg4sf5xjH/2D7FP70u7Su8hs2cHx9fU3LuHku3PBptpSi05KGJjtSPphV08kB1+R5m8BHwLzVLUqWYI1FaKNUrXEk0lNxVFaDb2aVsOuirhsYX0tHVl+j3UejGn3kL7YeWeeBQrxKZCLgEfjNamITBCRXcC3gWUikva5OIE0/h73LmPYzHdqg6zCFVr2ZoivD27wcx4hz3vyX6eqHNm4hKrDexER2l/+C/LPnxJV3dP6hZsjye+xi/kwwWLpi912pq+q9gMQkXnAunhNqqp/B/4er/FSHSffwoFlfn6eF1U4XF5ZpwxA8OtHK6oo8yfkVZcd5sDrcyn/dD3Vx0pp/d2piDgJ/2mI1yMNvCWR5PfYbX1MsFj6YqdEaq1p/m51SRAnPbH7Fg4YG516N4bNfKfWU1Lx5Wb2L/GXLRx5Iy0GX+pYptZ5XiqCsoPtWlfWl88qv8cu5sNK+QS36zQ0TuyUSH8ROeJ/LECu/zjgnWmZcOnShEi+hcMZHwPXlP1nDfv+/hCZbTrTadL9ZJ3SKyKZDpVVkuv11CbKBea9c8GmkCugYFmiifkIdQ34CkUb20jjxq7ae3SNRAwNsPoWrv/NbbXt2bDjICu37fMFo+GzR+R0G0DL8ybSauhkMrKiC/0OtknUn3f6wmJQagsh2W3BnHhaAq/97G/FDSrM16/wbmhchC0FkEo01lIAdmnscPJmzPA33q5PQHGUbV/DkQ2v0eHKB8jwnoz7CFc7pCA/l93+7NlQY0fiIYq1761V72ABPp85NupxDYkl1lIAhhgZP7Cgtvet4LsRH7q8Hxt2HOTOBZtq0+OtesBUVx7nwIrfs2/Rb9CqE9RUHMUjguCzZXhs7FWBbYZd7kokxs1YDaEmkS79MEokSYwfWMB7947g85lja7/Jn1/7Zdiyhif2f8me537G0aLXaXnOBDpeM4vMFu2oUeXzmWPJy8q0rL0aUFYBO4ZVAlskN3CsN7tJpEs/nESsGhLA7OXbwyoQVeXg8ieoPnaIDpNmkNvr5GoycDPbbUOCtx3h7Bj1t1tej9SxiUB8bnaTSJd+GCWSYKy8LXbbgpqKowBk5DSn7dg7kcwsMpu3qX09+Gb2WNhRMoSQjbKtXLjQ8MYO9Vw8bnaTQ5NeGCWSQOyCzKyMmcdLtnFw6WwyO55G+8vuwZtfN4exftKblR2lRiMLSw+nYAwGK4xNJIHYBZlNH9OnTji7ag2H177MnufvxuvJoGXhZXWuC8R0TB/Th9nLt9eGzzstFmRCzA2JwiiRBGIXZDZ+YAHNsnwLwepjh9i74H8oXfUseacNpc01j5FdcHrt+QJMHHzSdhFc7PhoRVWD3JpI5TEYYsFsZxJIuCCzw/46HVpTQ+WhEtqM+SnN+49pUPFNgWWbv2Jp8VcNVjaVNUp+rpdm2Scrix07XhWyBohxoxoSgVEiCWT6mD5MX1hcp/ByIMntxIkTZGx7i6rTRpDZoi0FNzyFZFpvTawqi4FPGW26f3TtsVVwm3GjGhKB2c4kmvp2T4WvvvycYcOG8dlrv6VmZzFArQKJJs2xVW5d5WMV3GaMpIZEYFYiCWT28u0NAsFKP1rJrXN+T4vcLF555RUyepzHA0u21K40crwZtn13QxEqYNW4UQ3JwqxEEkh9Q+ah1fPZv+QRMtt1Z9OmTVx++eUAVAQpjUgVCECpzVbHYEg0rqxERGQ2cClwAvgUuF5VS92QJZHUN6zm9jwHQeg79r/o1q0b4LxQszdDLMPbjcHU4CZurUTeAs7yV4z/D/Bzl+RIKHeNPo3yoqUcWvUMADmnnkGnkddx98V9a89x4nYVYPK5XbhmSNcGNhNjMPRpJ7sAAAlqSURBVDW4jStKRFVXBBV9Xguc6oYciWT//v38ZcYt7F3xRzyHS6CmOqSB08kqQoGV2/bx4Ph+PDZ5gDGYGlKKVDCs/ghY4LYQ8WTVqlVMmTKFffv2MXfuXG677TbLbn9WFb/qE9gWGYOpIdVImBJx0rxKRH4BVAHP24zTqJpXHTx4kLFjx9K5c2fef/99Bg0aZHu+XcWvYARMLVJDSuJaZTMRuRZfX5uRqlrm5JpUrmx24MAB2rZtC8DKlSspLCykRYsWjq8PFSBWn1irihkM0ZJylc1E5ELgHmCcUwWSyixatIjevXvz3HPPATB8+PCIFAjUDRCzwuS+GFIRt7wzjwMtgLdEZJOI/NElOWKioqKCn/zkJ0yYMIGePXsyZMiQmMYLVD+zUiTJduVaNdwyGIJxxbCqqt9yY954snXrVq666io2b97MtGnTeOihh8jKyorL2NG0ZIg3pu2lwSmp4J1plHz88cfs3r2bZcuWcfHFF8d17FQoIRiu4ZbBEMAokQg4fPgwa9as4aKLLmLixImMGjWKli0T08PLbVeuaXtpcIrJnXHIunXrGDhwIJMmTWL//v0ACVMgqYBp7WBwilEiYaipqWHWrFkMGzaM6upq3nrrLdq1a+e2WAnHtHYwOMVsZ2yorq7mkksu4c0332TixIn86U9/onXr1m6LlRRSwS5jaBwYJWKDx+Nh6NChTJgwgRtuuMEydD1dcdsuY2gcGCVSjxMnTnDfffcxZswYRowYwX333ee2SAZDSmOUSBCfffYZV199NevWrSMrK4sRI0yIucEQDqNE/Lz00kvcdNNNZGRk8PLLLzNp0iS3RTIYGgXGOwOsWLGCq6++mrPOOotNmzYZBWIwRECTViJlZb7cv1GjRvHMM8+watWq2rKFBoPBGU1Siagqjz/+OL169WLHjh2ICNdeey2ZmWZ3ZzBESpNTIgcOHGDChAnceuutDBo0iLy8PLdFMhgaNU1KiaxevZoBAwbw+uuvM2fOHJYsWUL79u3dFstgaNQ0qfX7008/TU5ODu+//z6DBw92WxyDIS1IeyWya9cuysrKOO2003j88cdR1YirjiWKRUUlJqzc0Ohxqzzir0Rks7+q2QoR6ZyIeRYvXkz//v259tprUVWaN2+eUgrk569+SElpOcrJoj+mepihseGWTWS2qp6tqgOApcD/xHPwiooKbr31Vi677DK6devGs88+m3J5L3ZFfwyGxoRb5RGPBB02w9efKS6UlJQwduxYiouLueOOO5g5cybZ2dnxGj5umKI/hnTBNe+MiPxaRHYCU7BZiYjIjSKyQUQ27Nu3L+y47dq1o2PHjixdupTHHnssJRUImKI/hvQhYX1nnDSv8p/3cyBHVe8PN2Yq952JlFB9ZnK9HtMW05CS2PWdSdh2RlUvcHjqC8AyIKwSSSdM0R9DuuCKTUREeqvq//MfjgO2uSGH25iiP4Z0wK04kZki0geoAXbga6dpMBgaIW55Zya6Ma/BYIg/TSp3xmAwxB+jRAwGQ0wkzMWbCERkHz4bSjjaAfsTLI4TjBx1SQU5UkEGaHxydFPVkCnvjUqJOEVENlj5tI0cTVuOVJAh3eQw2xmDwRATRokYDIaYSFcl8pTbAvgxctQlFeRIBRkgjeRIS5uIwWBIHum6EjEYDEkibZVIsqqnOZBjtohs88vydxHJd0GGK0Rki4jUiEjSPQIicqGIbBeRT0Tk3mTP75fhaRHZKyIfuTF/kBxdRGSliGz1/09ud0mOHBFZJyLFfjkeiHowVU3LH6Bl0OPbgD+6JMdoINP/+GHgYRdkOAPoA/wTKEzy3B7gU6AnkAUUA31deA++CwwCPnLjcxAkRydgkP9xC+A/Lr0fAjT3P/YC/waGRDNW2q5ENIHV0yKUY4WqVvkP1wKnuiDDVlV1q+7iucAnqvqZqp4AXgIuS7YQqroaOJjseUPI8ZWqfuB//A2wFUh6Krf6OOo/9Pp/orpH0laJgPPqaUnkR8AbbguRZAqAnUHHu3DhpklFRKQ7MBDfKsCN+T0isgnYC7ylqlHJ0aiViIi8LSIfhfi5DEBVf6GqXYDngZ+6JYf/nF8AVX5ZXJHBJUJVyG7yLkERaQ68AtxRb9WcNFS1Wn3F0k8FzhWRs6IZp1H3ndEUqZ4WTg4RuRa4BBip/k1osmVwkV1Al6DjU4HdLsmSEoiIF58CeV5VX3VbHlUtFZF/AhcCERueG/VKxA4R6R106Fr1NBG5ELgHGKeqZW7I4DLrgd4i0kNEsoCrgMUuy+Qa4utdMg/YqqpzXJSjfcBTKCK5wAVEeY+kbbCZiLyCzyNRWz1NVZPeGUpEPgGygQP+p9aqalIruYnIBOB3QHugFNikqmOSOP/FwFx8npqnVfXXyZo7SIYXge/jy1r9GrhfVee5IMd3gH8BH+L7bAL8t6q+nmQ5zgaexfc/yQD+pqq/jGqsdFUiBoMhOaTtdsZgMCQHo0QMBkNMGCViMBhiwigRg8EQE0aJGAyGmDBKxICItPVnO28SkT0iUhJ0nBXHeS4QkcP+cbf6o3hDnddFRBbEa15DYjEuXkMdRGQGcFRVH6n3vOD7vNSEvNDZ2BcAP1XV8f6w783ABFUtDjonMyhh0dAIMCsRgyUi8i1//s0fgQ+ALiJSGvT6VSLyZ//jU0TkVRHZ4K9TMcRubH8G6QdALxH5PyLykogsBd7wz7vJP26miDzml2OziNzif/4cEVklIhtF5A0ROSVBb4MhDEaJGMLRF5inqgMBu4jf/wVmqa/9wJXAn+0GFZH2+MoEbPE/9W1gqqqOqnfqj4HOQH9VPRt4SUSygd8CE1V1MPBX4FeR/VmGeNGoE/AMSeFTVV3v4LwLgD6+XQ8ArUUkV1XL6503XESK8IV8/0pVt4vI+cAKVT1kMe5cVa0GUNWDIjIAOBN42z+fB1+in8EFjBIxhONY0OMa6qb25wQ9FuBcf+EhO1aq6vgw8wQjNCwdIMBmVT0/zFyGJGC2MwbH+I2qh0Skt4hkABOCXn4b+EngwL9aiAcrgB+LiMc/bhvgY6BARM71P5clImfGaT5DhBglYoiUe4A3gX9QdwvxE2CY3/j5MXBDnOZ7EtgDbBaRYuBKVT0OTALm+J8rAs6L03yGCDEuXoPBEBNmJWIwGGLCKBGDwRATRokYDIaYMErEYDDEhFEiBoMhJowSMRgMMWGUiMFgiAmjRAwGQ0z8f/oeccfQLE3lAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 288x216 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ridge.alpha_: 1.0\n",
      "The r2_score of RidgeCV on train: 0.75\n",
      "The r2_score of RigerCV on test: 0.7\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r2_score of LassoCV on train: 0.75\n",
      "The r2_score of LassoCV on test: 0.7\n",
      "lasso.alpha: 0.0007611314346010884\n",
      "    Columns   coef_lr  coef_ridge  coef_lasso\n",
      "20   RAD_24  0.452262    0.405066    0.498189\n",
      "18    RAD_7  0.349686    0.313040    0.402894\n",
      "19    RAD_8  0.270685    0.256947    0.341884\n",
      "5        RM  0.267316    0.271496    0.271278\n",
      "1        ZN  0.144948    0.139474    0.137449\n",
      "14    RAD_3  0.087850    0.096199    0.178505\n",
      "3      CHAS  0.079904    0.081505    0.081310\n",
      "10        B  0.075170    0.074754    0.074210\n",
      "2     INDUS  0.021732    0.015328    0.010487\n",
      "6       AGE  0.020230    0.016699    0.014471\n",
      "16    RAD_5 -0.095316   -0.087928    0.000000\n",
      "0      CRIM -0.104573   -0.101393   -0.101115\n",
      "15    RAD_4 -0.119312   -0.113578   -0.019184\n",
      "8       TAX -0.194907   -0.173019   -0.172267\n",
      "4       NOX -0.228508   -0.220767   -0.218297\n",
      "9   PTRATIO -0.234832   -0.230566   -0.231242\n",
      "17    RAD_6 -0.252354   -0.241099   -0.149135\n",
      "13    RAD_2 -0.293479   -0.260770   -0.165896\n",
      "7       DIS -0.392703   -0.385246   -0.386243\n",
      "12    RAD_1 -0.400022   -0.367878   -0.281562\n",
      "11    LSTAT -0.439594   -0.437211   -0.437950\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "E:\\anaconda\\lib\\site-packages\\sklearn\\model_selection\\_split.py:1978: FutureWarning: The default value of cv will change from 3 to 5 in version 0.22. Specify it explicitly to silence this warning.\n",
      "  warnings.warn(CV_WARNING, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.metrics import r2_score\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.linear_model import LinearRegression\n",
    "from sklearn.linear_model import RidgeCV\n",
    "from sklearn.linear_model import LassoCV\n",
    "%matplotlib inline\n",
    "\n",
    "# 导入标准化的数据\n",
    "df = pd.read_csv(\"FE_boston_housing.csv\")\n",
    "# print(df.head())\n",
    "# 分离特征X和输出y\n",
    "y = df['MEDV']\n",
    "X = df.drop(['MEDV','log_MEDV'],axis=1)\n",
    "# 特征名称\n",
    "feature_names = X.columns\n",
    "# print(feature_names)\n",
    "# 训练和测试数据分离,20%用于测试\n",
    "X_train,X_test,y_train,y_test = train_test_split(X,y,test_size=.2,random_state=30)\n",
    "# print(X_train.shape)\n",
    "# print(X_test.shape)\n",
    "# 线性回归\n",
    "lr = LinearRegression()\n",
    "# 用训练数据训练模型\n",
    "lr.fit(X_train, y_train)\n",
    "# 用训练好的模型去预测\n",
    "y_train_predit = lr.predict(X_train)\n",
    "y_test_predit = lr.predict(X_test)\n",
    "# 打印个特征权重系数值\n",
    "# print(lr.coef_)\n",
    "#fs = pd.DataFrame({\"columns\":list(feature_names),\"coef\":list(lr.coef_)})\n",
    "#print(fs.sort_values(by=['coef'],ascending=False))\n",
    "# 使用r2_score评价在训练集和测试集上的性能\n",
    "print(\"The r2_score of LinearRegression on train:\",round(r2_score(y_train,y_train_predit),2))\n",
    "print(\"The r2_score of LinearRegression on test:\",round(r2_score(y_test,y_test_predit),2))\n",
    "\n",
    "# 预测值和真值的散点图\n",
    "plt.figure(figsize=(4,3))\n",
    "plt.scatter(y_train,y_train_predit)\n",
    "plt.plot([-3,3],[-3,3],'--k')\n",
    "# plt.axis('tight')\n",
    "plt.xlabel('True Price')\n",
    "plt.ylabel('Predict Price')\n",
    "plt.show()\n",
    "#--------------------------------\n",
    "#岭回归/L2正则\n",
    "# 设置超参数范围\n",
    "alphas = [0.01,0.1,1,10,100]\n",
    "# 生成一个RidgeCV的对象\n",
    "ridge = RidgeCV(alphas = alphas, store_cv_values=True)\n",
    "# 训练模型\n",
    "ridge.fit(X_train,y_train)\n",
    "# 预测\n",
    "y_train_pred_ridge = ridge.predict(X_train)\n",
    "y_test_pred_ridge =ridge.predict(X_test)\n",
    "# 评估\n",
    "print(\"ridge.alpha_:\",ridge.alpha_)  # 最佳超参数alpha\n",
    "print(\"The r2_score of RidgeCV on train:\",round(r2_score(y_train,y_train_pred_ridge),2))\n",
    "print(\"The r2_score of RigerCV on test:\",round(r2_score(y_test,y_test_pred_ridge),2))\n",
    "plt.xlabel(\"log(alpha)\")\n",
    "plt.ylabel(\"mse\")\n",
    "mse_mean = np.mean(ridge.cv_values_,axis=0)\n",
    "plt.plot(np.log10(alphas),mse_mean.reshape(len(alphas),1))\n",
    "plt.show()\n",
    "\n",
    "#--------------------------------------\n",
    "# 正则化的线性回归，L1正则Lasso\n",
    "# 生成Lasso学习器对象\n",
    "lasso = LassoCV()\n",
    "# 训练\n",
    "lasso.fit(X_train,y_train)\n",
    "# 测试\n",
    "y_train_pred_lasso = lasso.predict(X_train)\n",
    "y_test_pred_lasso = lasso.predict(X_test)\n",
    "# 评估\n",
    "print(\"The r2_score of LassoCV on train:\",round(r2_score(y_train,y_train_pred_lasso),2))\n",
    "print(\"The r2_score of LassoCV on test:\",round(r2_score(y_test,y_test_pred_lasso),2))\n",
    "print(\"lasso.alpha:\",lasso.alpha_)\n",
    "\n",
    "#查看各特征的权重\n",
    "# 查看各特征的权重\n",
    "fs = pd.DataFrame({\"Columns\":list(feature_names),\n",
    "                   \"coef_lr\":list(lr.coef_),\n",
    "                   \"coef_ridge\":list(ridge.coef_),\n",
    "                   \"coef_lasso\":list(lasso.coef_)})\n",
    "print(fs.sort_values(by=['coef_lr'],ascending=False))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "岭回归与Lasso回归的出现是为了解决线性回归出现的过拟合问题。这两种回归均通过在损失函数中引入正则化项来达到目的。λ是正则化参数，如果λ选取过大，会把所有参数w均最小化，造成欠拟合，如果λ选取过小，会导致对过拟合问题解决不当，因此λ的正确选取很重要。 \n",
    "岭回归与Lasso回归最大的区别在于岭回归引入的是L2范数惩罚项，Lasso回归引入的是L1范数惩罚项，Lasso回归能够使得损失函数中的许多θ均变成0，这点要优于岭回归，因为岭回归是要所有的ww均存在的，这样计算量Lasso回归将远远小于岭回归"
   ]
  }
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